Finding the Fourth Proportional to 1,142.50, 1,574.82 and 902.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.50 : 1,574.82 = 902.83 : x
2. Step 2: Convert to fraction form
   1,142.50/1,574.82 = 902.83/x
3. Step 3: Cross multiply
   1,142.50x = 1,574.82 × 902.83
4. Step 4: Simplify right side
   1,142.50x = 1,421,794.74
5. Step 5: Solve for x
   x = 1,421,794.74/1,142.50
6. Step 6: Final answer
   x = 1,244.46