Finding the Fourth Proportional to 1,423.59, 1,964 and 863.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.59 : 1,964 = 863.86 : x
2. Step 2: Convert to fraction form
   1,423.59/1,964 = 863.86/x
3. Step 3: Cross multiply
   1,423.59x = 1,964 × 863.86
4. Step 4: Simplify right side
   1,423.59x = 1,696,611.22
5. Step 5: Solve for x
   x = 1,696,611.22/1,423.59
6. Step 6: Final answer
   x = 1,191.78