Finding the Fourth Proportional to 1,238.59, 1,854.24 and 826.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.59 : 1,854.24 = 826.71 : x
2. Step 2: Convert to fraction form
   1,238.59/1,854.24 = 826.71/x
3. Step 3: Cross multiply
   1,238.59x = 1,854.24 × 826.71
4. Step 4: Simplify right side
   1,238.59x = 1,532,913.35
5. Step 5: Solve for x
   x = 1,532,913.35/1,238.59
6. Step 6: Final answer
   x = 1,237.63