Finding the Fourth Proportional to 9,292.56, 12,829.80 and 5,760.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,292.56 : 12,829.80 = 5,760.96 : x
2. Step 2: Convert to fraction form
   9,292.56/12,829.80 = 5,760.96/x
3. Step 3: Cross multiply
   9,292.56x = 12,829.80 × 5,760.96
4. Step 4: Simplify right side
   9,292.56x = 73,911,964.61
5. Step 5: Solve for x
   x = 73,911,964.61/9,292.56
6. Step 6: Final answer
   x = 7,953.89