Finding the Fourth Proportional to 2,462.72, 3,693.96 and 613.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.72 : 3,693.96 = 613.78 : x
2. Step 2: Convert to fraction form
   2,462.72/3,693.96 = 613.78/x
3. Step 3: Cross multiply
   2,462.72x = 3,693.96 × 613.78
4. Step 4: Simplify right side
   2,462.72x = 2,267,269.53
5. Step 5: Solve for x
   x = 2,267,269.53/2,462.72
6. Step 6: Final answer
   x = 920.64