Finding the Fourth Proportional to 5,682.30, 7,839.27 and 4,106.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,682.30 : 7,839.27 = 4,106.94 : x
2. Step 2: Convert to fraction form
   5,682.30/7,839.27 = 4,106.94/x
3. Step 3: Cross multiply
   5,682.30x = 7,839.27 × 4,106.94
4. Step 4: Simplify right side
   5,682.30x = 32,195,411.53
5. Step 5: Solve for x
   x = 32,195,411.53/5,682.30
6. Step 6: Final answer
   x = 5,665.91