Finding the Fourth Proportional to 2,462.50, 3,693.76 and 638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.50 : 3,693.76 = 638.50 : x
2. Step 2: Convert to fraction form
   2,462.50/3,693.76 = 638.50/x
3. Step 3: Cross multiply
   2,462.50x = 3,693.76 × 638.50
4. Step 4: Simplify right side
   2,462.50x = 2,358,465.76
5. Step 5: Solve for x
   x = 2,358,465.76/2,462.50
6. Step 6: Final answer
   x = 957.75