Finding the Fourth Proportional to 1,617.50, 2,426.25 and 463.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,617.50 : 2,426.25 = 463.25 : x
2. Step 2: Convert to fraction form
   1,617.50/2,426.25 = 463.25/x
3. Step 3: Cross multiply
   1,617.50x = 2,426.25 × 463.25
4. Step 4: Simplify right side
   1,617.50x = 1,123,960.31
5. Step 5: Solve for x
   x = 1,123,960.31/1,617.50
6. Step 6: Final answer
   x = 694.88