Finding the Fourth Proportional to 1,510.38, 2,265.31 and 414.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.38 : 2,265.31 = 414.48 : x
2. Step 2: Convert to fraction form
   1,510.38/2,265.31 = 414.48/x
3. Step 3: Cross multiply
   1,510.38x = 2,265.31 × 414.48
4. Step 4: Simplify right side
   1,510.38x = 938,925.69
5. Step 5: Solve for x
   x = 938,925.69/1,510.38
6. Step 6: Final answer
   x = 621.65