Finding the Fourth Proportional to 1,510.06, 2,265.25 and 414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.06 : 2,265.25 = 414.50 : x
2. Step 2: Convert to fraction form
   1,510.06/2,265.25 = 414.50/x
3. Step 3: Cross multiply
   1,510.06x = 2,265.25 × 414.50
4. Step 4: Simplify right side
   1,510.06x = 938,958.59
5. Step 5: Solve for x
   x = 938,958.59/1,510.06
6. Step 6: Final answer
   x = 621.80