Finding the Fourth Proportional to 1,655.50, 2,284.62 and 909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,655.50 : 2,284.62 = 909.50 : x
2. Step 2: Convert to fraction form
   1,655.50/2,284.62 = 909.50/x
3. Step 3: Cross multiply
   1,655.50x = 2,284.62 × 909.50
4. Step 4: Simplify right side
   1,655.50x = 2,077,861.89
5. Step 5: Solve for x
   x = 2,077,861.89/1,655.50
6. Step 6: Final answer
   x = 1,255.13