Finding the Fourth Proportional to 3,470.72, 4,783.20 and 2,585.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,470.72 : 4,783.20 = 2,585.12 : x
2. Step 2: Convert to fraction form
   3,470.72/4,783.20 = 2,585.12/x
3. Step 3: Cross multiply
   3,470.72x = 4,783.20 × 2,585.12
4. Step 4: Simplify right side
   3,470.72x = 12,365,145.98
5. Step 5: Solve for x
   x = 12,365,145.98/3,470.72
6. Step 6: Final answer
   x = 3,562.70