Finding the Fourth Proportional to 1,385.52, 2,077.98 and 682.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.52 : 2,077.98 = 682.42 : x
2. Step 2: Convert to fraction form
   1,385.52/2,077.98 = 682.42/x
3. Step 3: Cross multiply
   1,385.52x = 2,077.98 × 682.42
4. Step 4: Simplify right side
   1,385.52x = 1,418,055.11
5. Step 5: Solve for x
   x = 1,418,055.11/1,385.52
6. Step 6: Final answer
   x = 1,023.48