Finding the Fourth Proportional to 9,931.18, 13,706.69 and 5,682.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,931.18 : 13,706.69 = 5,682.42 : x
2. Step 2: Convert to fraction form
   9,931.18/13,706.69 = 5,682.42/x
3. Step 3: Cross multiply
   9,931.18x = 13,706.69 × 5,682.42
4. Step 4: Simplify right side
   9,931.18x = 77,887,169.39
5. Step 5: Solve for x
   x = 77,887,169.39/9,931.18
6. Step 6: Final answer
   x = 7,842.69