Finding the Fourth Proportional to 1,335.34, 1,843.59 and 863.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.34 : 1,843.59 = 863.65 : x
2. Step 2: Convert to fraction form
   1,335.34/1,843.59 = 863.65/x
3. Step 3: Cross multiply
   1,335.34x = 1,843.59 × 863.65
4. Step 4: Simplify right side
   1,335.34x = 1,592,216.50
5. Step 5: Solve for x
   x = 1,592,216.50/1,335.34
6. Step 6: Final answer
   x = 1,192.37