Finding the Fourth Proportional to 10,513.28, 14,507.84 and 5,796.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.28 : 14,507.84 = 5,796.80 : x
2. Step 2: Convert to fraction form
   10,513.28/14,507.84 = 5,796.80/x
3. Step 3: Cross multiply
   10,513.28x = 14,507.84 × 5,796.80
4. Step 4: Simplify right side
   10,513.28x = 84,099,046.91
5. Step 5: Solve for x
   x = 84,099,046.91/10,513.28
6. Step 6: Final answer
   x = 7,999.32