Finding the Fourth Proportional to 1,459.29, 2,014.38 and 869.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.29 : 2,014.38 = 869.86 : x
2. Step 2: Convert to fraction form
   1,459.29/2,014.38 = 869.86/x
3. Step 3: Cross multiply
   1,459.29x = 2,014.38 × 869.86
4. Step 4: Simplify right side
   1,459.29x = 1,752,231.10
5. Step 5: Solve for x
   x = 1,752,231.10/1,459.29
6. Step 6: Final answer
   x = 1,200.75