Finding the Fourth Proportional to 1,148.42, 1,584.85 and 624.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.42 : 1,584.85 = 624.46 : x
2. Step 2: Convert to fraction form
   1,148.42/1,584.85 = 624.46/x
3. Step 3: Cross multiply
   1,148.42x = 1,584.85 × 624.46
4. Step 4: Simplify right side
   1,148.42x = 989,667.51
5. Step 5: Solve for x
   x = 989,667.51/1,148.42
6. Step 6: Final answer
   x = 861.76