Finding the Fourth Proportional to 1,148.34, 1,584.71 and 624.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.34 : 1,584.71 = 624.37 : x
2. Step 2: Convert to fraction form
   1,148.34/1,584.71 = 624.37/x
3. Step 3: Cross multiply
   1,148.34x = 1,584.71 × 624.37
4. Step 4: Simplify right side
   1,148.34x = 989,442.26
5. Step 5: Solve for x
   x = 989,442.26/1,148.34
6. Step 6: Final answer
   x = 861.63