Finding the Fourth Proportional to 1,411.62, 1,946.16 and 1,158.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.62 : 1,946.16 = 1,158.62 : x
2. Step 2: Convert to fraction form
   1,411.62/1,946.16 = 1,158.62/x
3. Step 3: Cross multiply
   1,411.62x = 1,946.16 × 1,158.62
4. Step 4: Simplify right side
   1,411.62x = 2,254,859.90
5. Step 5: Solve for x
   x = 2,254,859.90/1,411.62
6. Step 6: Final answer
   x = 1,597.36