Finding the Fourth Proportional to 11,748.72, 16,213.98 and 7,762.86

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748.72 : 16,213.98 = 7,762.86 : x
2. Step 2: Convert to fraction form
   11,748.72/16,213.98 = 7,762.86/x
3. Step 3: Cross multiply
   11,748.72x = 16,213.98 × 7,762.86
4. Step 4: Simplify right side
   11,748.72x = 125,866,856.78
5. Step 5: Solve for x
   x = 125,866,856.78/11,748.72
6. Step 6: Final answer
   x = 10,713.24