Finding the Fourth Proportional to 2,467.42, 3,700.20 and 1,005.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,467.42 : 3,700.20 = 1,005.76 : x
2. Step 2: Convert to fraction form
   2,467.42/3,700.20 = 1,005.76/x
3. Step 3: Cross multiply
   2,467.42x = 3,700.20 × 1,005.76
4. Step 4: Simplify right side
   2,467.42x = 3,721,513.15
5. Step 5: Solve for x
   x = 3,721,513.15/2,467.42
6. Step 6: Final answer
   x = 1,508.26