Finding the Fourth Proportional to 1,648.38, 2,471.52 and 826.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.38 : 2,471.52 = 826.20 : x
2. Step 2: Convert to fraction form
   1,648.38/2,471.52 = 826.20/x
3. Step 3: Cross multiply
   1,648.38x = 2,471.52 × 826.20
4. Step 4: Simplify right side
   1,648.38x = 2,041,969.82
5. Step 5: Solve for x
   x = 2,041,969.82/1,648.38
6. Step 6: Final answer
   x = 1,238.77