Finding the Fourth Proportional to 10,366.56, 14,306 and 5,650.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366.56 : 14,306 = 5,650.92 : x
2. Step 2: Convert to fraction form
   10,366.56/14,306 = 5,650.92/x
3. Step 3: Cross multiply
   10,366.56x = 14,306 × 5,650.92
4. Step 4: Simplify right side
   10,366.56x = 80,842,061.52
5. Step 5: Solve for x
   x = 80,842,061.52/10,366.56
6. Step 6: Final answer
   x = 7,798.35