Finding the Fourth Proportional to 2,471.20, 3,706.86 and 1,009.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.20 : 3,706.86 = 1,009.32 : x
2. Step 2: Convert to fraction form
   2,471.20/3,706.86 = 1,009.32/x
3. Step 3: Cross multiply
   2,471.20x = 3,706.86 × 1,009.32
4. Step 4: Simplify right side
   2,471.20x = 3,741,407.94
5. Step 5: Solve for x
   x = 3,741,407.94/2,471.20
6. Step 6: Final answer
   x = 1,514.00