Finding the Fourth Proportional to 11,854.29, 17,774.11 and 5,091.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,854.29 : 17,774.11 = 5,091.82 : x
2. Step 2: Convert to fraction form
   11,854.29/17,774.11 = 5,091.82/x
3. Step 3: Cross multiply
   11,854.29x = 17,774.11 × 5,091.82
4. Step 4: Simplify right side
   11,854.29x = 90,502,568.78
5. Step 5: Solve for x
   x = 90,502,568.78/11,854.29
6. Step 6: Final answer
   x = 7,634.58