Finding the Fourth Proportional to 1,617.71, 2,232.50 and 909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,617.71 : 2,232.50 = 909.50 : x
2. Step 2: Convert to fraction form
   1,617.71/2,232.50 = 909.50/x
3. Step 3: Cross multiply
   1,617.71x = 2,232.50 × 909.50
4. Step 4: Simplify right side
   1,617.71x = 2,030,443.04
5. Step 5: Solve for x
   x = 2,030,443.04/1,617.71
6. Step 6: Final answer
   x = 1,255.14