Finding the Fourth Proportional to 2,451.57, 3,677.64 and 807.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,451.57 : 3,677.64 = 807.69 : x
2. Step 2: Convert to fraction form
   2,451.57/3,677.64 = 807.69/x
3. Step 3: Cross multiply
   2,451.57x = 3,677.64 × 807.69
4. Step 4: Simplify right side
   2,451.57x = 2,970,393.05
5. Step 5: Solve for x
   x = 2,970,393.05/2,451.57
6. Step 6: Final answer
   x = 1,211.63