Finding the Fourth Proportional to 10,457.68, 14,431.54 and 5,677.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.68 : 14,431.54 = 5,677.72 : x
2. Step 2: Convert to fraction form
   10,457.68/14,431.54 = 5,677.72/x
3. Step 3: Cross multiply
   10,457.68x = 14,431.54 × 5,677.72
4. Step 4: Simplify right side
   10,457.68x = 81,938,243.29
5. Step 5: Solve for x
   x = 81,938,243.29/10,457.68
6. Step 6: Final answer
   x = 7,835.22