Finding the Fourth Proportional to 10,457.87, 14,431.90 and 5,677.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.87 : 14,431.90 = 5,677.82 : x
2. Step 2: Convert to fraction form
   10,457.87/14,431.90 = 5,677.82/x
3. Step 3: Cross multiply
   10,457.87x = 14,431.90 × 5,677.82
4. Step 4: Simplify right side
   10,457.87x = 81,941,730.46
5. Step 5: Solve for x
   x = 81,941,730.46/10,457.87
6. Step 6: Final answer
   x = 7,835.41