Finding the Fourth Proportional to 11,749.40, 16,209.71 and 7,500.62

Step by Step Solution

1. Step 1: Write the proportion equation
   11,749.40 : 16,209.71 = 7,500.62 : x
2. Step 2: Convert to fraction form
   11,749.40/16,209.71 = 7,500.62/x
3. Step 3: Cross multiply
   11,749.40x = 16,209.71 × 7,500.62
4. Step 4: Simplify right side
   11,749.40x = 121,582,756.47
5. Step 5: Solve for x
   x = 121,582,756.47/11,749.40
6. Step 6: Final answer
   x = 10,348.00