Finding the Fourth Proportional to 2,855.50, 4,283.17 and 1,006.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,855.50 : 4,283.17 = 1,006.61 : x
2. Step 2: Convert to fraction form
   2,855.50/4,283.17 = 1,006.61/x
3. Step 3: Cross multiply
   2,855.50x = 4,283.17 × 1,006.61
4. Step 4: Simplify right side
   2,855.50x = 4,311,457.82
5. Step 5: Solve for x
   x = 4,311,457.82/2,855.50
6. Step 6: Final answer
   x = 1,509.88