Finding the Fourth Proportional to 2,402.57, 3,314.41 and 1,407.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.57 : 3,314.41 = 1,407.24 : x
2. Step 2: Convert to fraction form
   2,402.57/3,314.41 = 1,407.24/x
3. Step 3: Cross multiply
   2,402.57x = 3,314.41 × 1,407.24
4. Step 4: Simplify right side
   2,402.57x = 4,664,166.81
5. Step 5: Solve for x
   x = 4,664,166.81/2,402.57
6. Step 6: Final answer
   x = 1,941.32