Finding the Fourth Proportional to 2,585.31, 3,876.74 and 942.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.31 : 3,876.74 = 942.02 : x
2. Step 2: Convert to fraction form
   2,585.31/3,876.74 = 942.02/x
3. Step 3: Cross multiply
   2,585.31x = 3,876.74 × 942.02
4. Step 4: Simplify right side
   2,585.31x = 3,651,966.61
5. Step 5: Solve for x
   x = 3,651,966.61/2,585.31
6. Step 6: Final answer
   x = 1,412.58