Finding the Fourth Proportional to 11,642.97, 17,459.10 and 3,744.02

Step by Step Solution

1. Step 1: Write the proportion equation
   11,642.97 : 17,459.10 = 3,744.02 : x
2. Step 2: Convert to fraction form
   11,642.97/17,459.10 = 3,744.02/x
3. Step 3: Cross multiply
   11,642.97x = 17,459.10 × 3,744.02
4. Step 4: Simplify right side
   11,642.97x = 65,367,200.86
5. Step 5: Solve for x
   x = 65,367,200.86/11,642.97
6. Step 6: Final answer
   x = 5,614.31