Finding the Fourth Proportional to 1,148.83, 1,585.42 and 624.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.83 : 1,585.42 = 624.86 : x
2. Step 2: Convert to fraction form
   1,148.83/1,585.42 = 624.86/x
3. Step 3: Cross multiply
   1,148.83x = 1,585.42 × 624.86
4. Step 4: Simplify right side
   1,148.83x = 990,665.54
5. Step 5: Solve for x
   x = 990,665.54/1,148.83
6. Step 6: Final answer
   x = 862.33