Finding the Fourth Proportional to 1,402.54, 1,934.57 and 863.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.54 : 1,934.57 = 863.96 : x
2. Step 2: Convert to fraction form
   1,402.54/1,934.57 = 863.96/x
3. Step 3: Cross multiply
   1,402.54x = 1,934.57 × 863.96
4. Step 4: Simplify right side
   1,402.54x = 1,671,383.58
5. Step 5: Solve for x
   x = 1,671,383.58/1,402.54
6. Step 6: Final answer
   x = 1,191.69