Finding the Fourth Proportional to 1,672.50, 2,509.83 and 646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,672.50 : 2,509.83 = 646.50 : x
2. Step 2: Convert to fraction form
   1,672.50/2,509.83 = 646.50/x
3. Step 3: Cross multiply
   1,672.50x = 2,509.83 × 646.50
4. Step 4: Simplify right side
   1,672.50x = 1,622,605.10
5. Step 5: Solve for x
   x = 1,622,605.10/1,672.50
6. Step 6: Final answer
   x = 970.17