Finding the Fourth Proportional to 10,371.46, 14,312.42 and 5,655.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,371.46 : 14,312.42 = 5,655.78 : x
2. Step 2: Convert to fraction form
   10,371.46/14,312.42 = 5,655.78/x
3. Step 3: Cross multiply
   10,371.46x = 14,312.42 × 5,655.78
4. Step 4: Simplify right side
   10,371.46x = 80,947,898.79
5. Step 5: Solve for x
   x = 80,947,898.79/10,371.46
6. Step 6: Final answer
   x = 7,804.87