Finding the Fourth Proportional to 1,642.50, 2,464.17 and 488.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.50 : 2,464.17 = 488.25 : x
2. Step 2: Convert to fraction form
   1,642.50/2,464.17 = 488.25/x
3. Step 3: Cross multiply
   1,642.50x = 2,464.17 × 488.25
4. Step 4: Simplify right side
   1,642.50x = 1,203,131.00
5. Step 5: Solve for x
   x = 1,203,131.00/1,642.50
6. Step 6: Final answer
   x = 732.50