Finding the Fourth Proportional to 1,219.35, 1,826.86 and 832.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,219.35 : 1,826.86 = 832.71 : x
2. Step 2: Convert to fraction form
   1,219.35/1,826.86 = 832.71/x
3. Step 3: Cross multiply
   1,219.35x = 1,826.86 × 832.71
4. Step 4: Simplify right side
   1,219.35x = 1,521,244.59
5. Step 5: Solve for x
   x = 1,521,244.59/1,219.35
6. Step 6: Final answer
   x = 1,247.59