Finding the Fourth Proportional to 1,022.48, 1,410.96 and 624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.48 : 1,410.96 = 624.50 : x
2. Step 2: Convert to fraction form
   1,022.48/1,410.96 = 624.50/x
3. Step 3: Cross multiply
   1,022.48x = 1,410.96 × 624.50
4. Step 4: Simplify right side
   1,022.48x = 881,144.52
5. Step 5: Solve for x
   x = 881,144.52/1,022.48
6. Step 6: Final answer
   x = 861.77