Finding the Fourth Proportional to 2,523.42, 3,785.09 and 1,042.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.42 : 3,785.09 = 1,042.61 : x
2. Step 2: Convert to fraction form
   2,523.42/3,785.09 = 1,042.61/x
3. Step 3: Cross multiply
   2,523.42x = 3,785.09 × 1,042.61
4. Step 4: Simplify right side
   2,523.42x = 3,946,348.55
5. Step 5: Solve for x
   x = 3,946,348.55/2,523.42
6. Step 6: Final answer
   x = 1,563.89