Finding the Fourth Proportional to 3,106.42, 4,660.27 and 1,026.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,106.42 : 4,660.27 = 1,026.61 : x
2. Step 2: Convert to fraction form
   3,106.42/4,660.27 = 1,026.61/x
3. Step 3: Cross multiply
   3,106.42x = 4,660.27 × 1,026.61
4. Step 4: Simplify right side
   3,106.42x = 4,784,265.57
5. Step 5: Solve for x
   x = 4,784,265.57/3,106.42
6. Step 6: Final answer
   x = 1,540.12