Finding the Fourth Proportional to 2,471.78, 3,704.42 and 1,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.78 : 3,704.42 = 1,009.25 : x
2. Step 2: Convert to fraction form
   2,471.78/3,704.42 = 1,009.25/x
3. Step 3: Cross multiply
   2,471.78x = 3,704.42 × 1,009.25
4. Step 4: Simplify right side
   2,471.78x = 3,738,697.67
5. Step 5: Solve for x
   x = 3,738,697.67/2,471.78
6. Step 6: Final answer
   x = 1,512.56