Finding the Fourth Proportional to 1,842.10, 2,542.04 and 1,002.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,842.10 : 2,542.04 = 1,002.82 : x
2. Step 2: Convert to fraction form
   1,842.10/2,542.04 = 1,002.82/x
3. Step 3: Cross multiply
   1,842.10x = 2,542.04 × 1,002.82
4. Step 4: Simplify right side
   1,842.10x = 2,549,208.55
5. Step 5: Solve for x
   x = 2,549,208.55/1,842.10
6. Step 6: Final answer
   x = 1,383.86