Finding the Fourth Proportional to 1,451.40, 2,002.80 and 861.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.40 : 2,002.80 = 861.84 : x
2. Step 2: Convert to fraction form
   1,451.40/2,002.80 = 861.84/x
3. Step 3: Cross multiply
   1,451.40x = 2,002.80 × 861.84
4. Step 4: Simplify right side
   1,451.40x = 1,726,093.15
5. Step 5: Solve for x
   x = 1,726,093.15/1,451.40
6. Step 6: Final answer
   x = 1,189.26