Finding the Fourth Proportional to 2,470.47, 3,704.31 and 826.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.47 : 3,704.31 = 826.14 : x
2. Step 2: Convert to fraction form
   2,470.47/3,704.31 = 826.14/x
3. Step 3: Cross multiply
   2,470.47x = 3,704.31 × 826.14
4. Step 4: Simplify right side
   2,470.47x = 3,060,278.66
5. Step 5: Solve for x
   x = 3,060,278.66/2,470.47
6. Step 6: Final answer
   x = 1,238.74