Finding the Fourth Proportional to 9,931.32, 13,706.32 and 5,682.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,931.32 : 13,706.32 = 5,682.78 : x
2. Step 2: Convert to fraction form
   9,931.32/13,706.32 = 5,682.78/x
3. Step 3: Cross multiply
   9,931.32x = 13,706.32 × 5,682.78
4. Step 4: Simplify right side
   9,931.32x = 77,890,001.17
5. Step 5: Solve for x
   x = 77,890,001.17/9,931.32
6. Step 6: Final answer
   x = 7,842.86