Finding the Fourth Proportional to 2,470.76, 3,706.34 and 827.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.76 : 3,706.34 = 827.32 : x
2. Step 2: Convert to fraction form
   2,470.76/3,706.34 = 827.32/x
3. Step 3: Cross multiply
   2,470.76x = 3,706.34 × 827.32
4. Step 4: Simplify right side
   2,470.76x = 3,066,322.01
5. Step 5: Solve for x
   x = 3,066,322.01/2,470.76
6. Step 6: Final answer
   x = 1,241.04