Finding the Fourth Proportional to 2,254.89, 3,382.17 and 1,005.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,254.89 : 3,382.17 = 1,005.87 : x
2. Step 2: Convert to fraction form
   2,254.89/3,382.17 = 1,005.87/x
3. Step 3: Cross multiply
   2,254.89x = 3,382.17 × 1,005.87
4. Step 4: Simplify right side
   2,254.89x = 3,402,023.34
5. Step 5: Solve for x
   x = 3,402,023.34/2,254.89
6. Step 6: Final answer
   x = 1,508.73