Finding the Fourth Proportional to 10,457.28, 14,430.48 and 5,740.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457.28 : 14,430.48 = 5,740.80 : x
2. Step 2: Convert to fraction form
   10,457.28/14,430.48 = 5,740.80/x
3. Step 3: Cross multiply
   10,457.28x = 14,430.48 × 5,740.80
4. Step 4: Simplify right side
   10,457.28x = 82,842,499.58
5. Step 5: Solve for x
   x = 82,842,499.58/10,457.28
6. Step 6: Final answer
   x = 7,921.99