Finding the Fourth Proportional to 10,457.62, 14,431.41 and 5,677.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.62 : 14,431.41 = 5,677.46 : x
2. Step 2: Convert to fraction form
   10,457.62/14,431.41 = 5,677.46/x
3. Step 3: Cross multiply
   10,457.62x = 14,431.41 × 5,677.46
4. Step 4: Simplify right side
   10,457.62x = 81,933,734.98
5. Step 5: Solve for x
   x = 81,933,734.98/10,457.62
6. Step 6: Final answer
   x = 7,834.84