Finding the Fourth Proportional to 9,929.92, 13,702.32 and 5,738.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,929.92 : 13,702.32 = 5,738.08 : x
2. Step 2: Convert to fraction form
   9,929.92/13,702.32 = 5,738.08/x
3. Step 3: Cross multiply
   9,929.92x = 13,702.32 × 5,738.08
4. Step 4: Simplify right side
   9,929.92x = 78,625,008.35
5. Step 5: Solve for x
   x = 78,625,008.35/9,929.92
6. Step 6: Final answer
   x = 7,917.99