Finding the Fourth Proportional to 2,402.59, 3,602.67 and 942.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.59 : 3,602.67 = 942.16 : x
2. Step 2: Convert to fraction form
   2,402.59/3,602.67 = 942.16/x
3. Step 3: Cross multiply
   2,402.59x = 3,602.67 × 942.16
4. Step 4: Simplify right side
   2,402.59x = 3,394,291.57
5. Step 5: Solve for x
   x = 3,394,291.57/2,402.59
6. Step 6: Final answer
   x = 1,412.76