Finding the Fourth Proportional to 9,931.42, 13,704.82 and 5,682.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,931.42 : 13,704.82 = 5,682.57 : x
2. Step 2: Convert to fraction form
   9,931.42/13,704.82 = 5,682.57/x
3. Step 3: Cross multiply
   9,931.42x = 13,704.82 × 5,682.57
4. Step 4: Simplify right side
   9,931.42x = 77,878,598.99
5. Step 5: Solve for x
   x = 77,878,598.99/9,931.42
6. Step 6: Final answer
   x = 7,841.64