Finding the Fourth Proportional to 10,225.64, 14,111.00 and 5,688.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,225.64 : 14,111.00 = 5,688.30 : x
2. Step 2: Convert to fraction form
   10,225.64/14,111.00 = 5,688.30/x
3. Step 3: Cross multiply
   10,225.64x = 14,111.00 × 5,688.30
4. Step 4: Simplify right side
   10,225.64x = 80,267,572.86
5. Step 5: Solve for x
   x = 80,267,572.86/10,225.64
6. Step 6: Final answer
   x = 7,849.64