Finding the Fourth Proportional to 10,476.48, 14,457.42 and 5,760.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,476.48 : 14,457.42 = 5,760.48 : x
2. Step 2: Convert to fraction form
   10,476.48/14,457.42 = 5,760.48/x
3. Step 3: Cross multiply
   10,476.48x = 14,457.42 × 5,760.48
4. Step 4: Simplify right side
   10,476.48x = 83,281,678.76
5. Step 5: Solve for x
   x = 83,281,678.76/10,476.48
6. Step 6: Final answer
   x = 7,949.40