Finding the Fourth Proportional to 9,292.54, 12,829.71 and 5,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,292.54 : 12,829.71 = 5,759.50 : x
2. Step 2: Convert to fraction form
   9,292.54/12,829.71 = 5,759.50/x
3. Step 3: Cross multiply
   9,292.54x = 12,829.71 × 5,759.50
4. Step 4: Simplify right side
   9,292.54x = 73,892,714.75
5. Step 5: Solve for x
   x = 73,892,714.75/9,292.54
6. Step 6: Final answer
   x = 7,951.83