Finding the Fourth Proportional to 9,929.32, 13,703.56 and 5,680.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,929.32 : 13,703.56 = 5,680.78 : x
2. Step 2: Convert to fraction form
   9,929.32/13,703.56 = 5,680.78/x
3. Step 3: Cross multiply
   9,929.32x = 13,703.56 × 5,680.78
4. Step 4: Simplify right side
   9,929.32x = 77,846,909.58
5. Step 5: Solve for x
   x = 77,846,909.58/9,929.32
6. Step 6: Final answer
   x = 7,840.10