To solve this question, we need to understand the given pattern and identify the missing number in the sequence. Let's break down the given number and analyze it step by step.

Given Number: 1154

Step 1: Identify the pattern
- The first digit, 1, is raised to the power of 1 (1^1 = 1).
- The second digit, 1, is raised to the power of 2 (1^2 = 1).
- The third digit, 5, is raised to the power of 3 (5^3 = 125).
- The fourth digit, 4, is raised to the power of 4 (4^4 = 256).

Step 2: Apply the pattern
Based on the pattern, we can see that each digit is raised to the power of its position in the number. So, the missing number should follow the same rule.

Step 3: Calculate the missing number
To calculate the missing number, we need to raise the fifth digit to the power of 5:
- The fifth digit is missing, so let's assume it as 'x'.
- The missing number can be represented as x^5.

Step 4: Simplify the equation
Since the missing number is represented as x^5, we need to find the value of 'x'. To do this, we can take the fifth root of 1154:
- x^5 = 1154
- Taking the fifth root of both sides: x = 1154^(1/5)

Step 5: Calculate the fifth root of 1154
Using a calculator or mathematical software, we can find the value of the fifth root of 1154 as approximately 4.697.

Step 6: Determine the correct option
Now that we have calculated the value of the missing digit, we can compare it with the given options:
a) -4.697
b) -4.697
c) -4.697
d) -4.697 (Correct answer)

Since the calculated missing number is approximately 4.697, option 'D' matches the calculated value and is the correct answer.

In conclusion, by analyzing the given pattern and applying it to the missing number, we calculated the value of the missing digit as approximately 4.697. Option 'D' matches this value and is the correct answer.