Finding the Fourth Proportional to 10,476.38, 14,457.47 and 5,760.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,476.38 : 14,457.47 = 5,760.83 : x
2. Step 2: Convert to fraction form
   10,476.38/14,457.47 = 5,760.83/x
3. Step 3: Cross multiply
   10,476.38x = 14,457.47 × 5,760.83
4. Step 4: Simplify right side
   10,476.38x = 83,287,026.90
5. Step 5: Solve for x
   x = 83,287,026.90/10,476.38
6. Step 6: Final answer
   x = 7,949.98