Finding the Fourth Proportional to 2,470.61, 3,706.52 and 827.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.61 : 3,706.52 = 827.17 : x
2. Step 2: Convert to fraction form
   2,470.61/3,706.52 = 827.17/x
3. Step 3: Cross multiply
   2,470.61x = 3,706.52 × 827.17
4. Step 4: Simplify right side
   2,470.61x = 3,065,908.75
5. Step 5: Solve for x
   x = 3,065,908.75/2,470.61
6. Step 6: Final answer
   x = 1,240.95