Finding the Fourth Proportional to 2,467.71, 3,701.60 and 1,005.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,467.71 : 3,701.60 = 1,005.83 : x
2. Step 2: Convert to fraction form
   2,467.71/3,701.60 = 1,005.83/x
3. Step 3: Cross multiply
   2,467.71x = 3,701.60 × 1,005.83
4. Step 4: Simplify right side
   2,467.71x = 3,723,156.79
5. Step 5: Solve for x
   x = 3,723,156.79/2,467.71
6. Step 6: Final answer
   x = 1,508.75