Finding the Fourth Proportional to 1,510.38, 2,265.71 and 414.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.38 : 2,265.71 = 414.72 : x
2. Step 2: Convert to fraction form
   1,510.38/2,265.71 = 414.72/x
3. Step 3: Cross multiply
   1,510.38x = 2,265.71 × 414.72
4. Step 4: Simplify right side
   1,510.38x = 939,633.18
5. Step 5: Solve for x
   x = 939,633.18/1,510.38
6. Step 6: Final answer
   x = 622.12