Finding the Fourth Proportional to 10,378.32, 14,321.97 and 5,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.32 : 14,321.97 = 5,662.50 : x
2. Step 2: Convert to fraction form
   10,378.32/14,321.97 = 5,662.50/x
3. Step 3: Cross multiply
   10,378.32x = 14,321.97 × 5,662.50
4. Step 4: Simplify right side
   10,378.32x = 81,098,155.13
5. Step 5: Solve for x
   x = 81,098,155.13/10,378.32
6. Step 6: Final answer
   x = 7,814.19