Finding the Fourth Proportional to 10,738.92, 14,812.89 and 7,759.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.92 : 14,812.89 = 7,759.13 : x
2. Step 2: Convert to fraction form
   10,738.92/14,812.89 = 7,759.13/x
3. Step 3: Cross multiply
   10,738.92x = 14,812.89 × 7,759.13
4. Step 4: Simplify right side
   10,738.92x = 114,935,139.19
5. Step 5: Solve for x
   x = 114,935,139.19/10,738.92
6. Step 6: Final answer
   x = 10,702.67