Finding the Fourth Proportional to 2,585.79, 3,877.61 and 942.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.79 : 3,877.61 = 942.03 : x
2. Step 2: Convert to fraction form
   2,585.79/3,877.61 = 942.03/x
3. Step 3: Cross multiply
   2,585.79x = 3,877.61 × 942.03
4. Step 4: Simplify right side
   2,585.79x = 3,652,820.24
5. Step 5: Solve for x
   x = 3,652,820.24/2,585.79
6. Step 6: Final answer
   x = 1,412.65