Finding the Fourth Proportional to 10,457.56, 14,431.68 and 5,677.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.56 : 14,431.68 = 5,677.69 : x
2. Step 2: Convert to fraction form
   10,457.56/14,431.68 = 5,677.69/x
3. Step 3: Cross multiply
   10,457.56x = 14,431.68 × 5,677.69
4. Step 4: Simplify right side
   10,457.56x = 81,938,533.06
5. Step 5: Solve for x
   x = 81,938,533.06/10,457.56
6. Step 6: Final answer
   x = 7,835.34