Finding the Fourth Proportional to 10,678.78, 14,737.50 and 5,963.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.78 : 14,737.50 = 5,963.32 : x
2. Step 2: Convert to fraction form
   10,678.78/14,737.50 = 5,963.32/x
3. Step 3: Cross multiply
   10,678.78x = 14,737.50 × 5,963.32
4. Step 4: Simplify right side
   10,678.78x = 87,884,428.50
5. Step 5: Solve for x
   x = 87,884,428.50/10,678.78
6. Step 6: Final answer
   x = 8,229.82