Finding the Fourth Proportional to 1,229.66, 1,834.72 and 1,142.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.66 : 1,834.72 = 1,142.55 : x
2. Step 2: Convert to fraction form
   1,229.66/1,834.72 = 1,142.55/x
3. Step 3: Cross multiply
   1,229.66x = 1,834.72 × 1,142.55
4. Step 4: Simplify right side
   1,229.66x = 2,096,256.48
5. Step 5: Solve for x
   x = 2,096,256.48/1,229.66
6. Step 6: Final answer
   x = 1,704.75