Finding the Fourth Proportional to 2,458.89, 3,688.50 and 815.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458.89 : 3,688.50 = 815.46 : x
2. Step 2: Convert to fraction form
   2,458.89/3,688.50 = 815.46/x
3. Step 3: Cross multiply
   2,458.89x = 3,688.50 × 815.46
4. Step 4: Simplify right side
   2,458.89x = 3,007,824.21
5. Step 5: Solve for x
   x = 3,007,824.21/2,458.89
6. Step 6: Final answer
   x = 1,223.24