Finding the Fourth Proportional to 10,759.14, 14,839.40 and 7,784.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,759.14 : 14,839.40 = 7,784.82 : x
2. Step 2: Convert to fraction form
   10,759.14/14,839.40 = 7,784.82/x
3. Step 3: Cross multiply
   10,759.14x = 14,839.40 × 7,784.82
4. Step 4: Simplify right side
   10,759.14x = 115,522,057.91
5. Step 5: Solve for x
   x = 115,522,057.91/10,759.14
6. Step 6: Final answer
   x = 10,737.11