Finding the Fourth Proportional to 1,655.82, 2,284.89 and 909.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,655.82 : 2,284.89 = 909.72 : x
2. Step 2: Convert to fraction form
   1,655.82/2,284.89 = 909.72/x
3. Step 3: Cross multiply
   1,655.82x = 2,284.89 × 909.72
4. Step 4: Simplify right side
   1,655.82x = 2,078,610.13
5. Step 5: Solve for x
   x = 2,078,610.13/1,655.82
6. Step 6: Final answer
   x = 1,255.34