Finding the Fourth Proportional to 11,740.25, 17,616.11 and 5,165.61

Step by Step Solution

1. Step 1: Write the proportion equation
   11,740.25 : 17,616.11 = 5,165.61 : x
2. Step 2: Convert to fraction form
   11,740.25/17,616.11 = 5,165.61/x
3. Step 3: Cross multiply
   11,740.25x = 17,616.11 × 5,165.61
4. Step 4: Simplify right side
   11,740.25x = 90,997,928.15
5. Step 5: Solve for x
   x = 90,997,928.15/11,740.25
6. Step 6: Final answer
   x = 7,750.94