Finding the Fourth Proportional to 1,451.30, 2,002.09 and 861.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.30 : 2,002.09 = 861.42 : x
2. Step 2: Convert to fraction form
   1,451.30/2,002.09 = 861.42/x
3. Step 3: Cross multiply
   1,451.30x = 2,002.09 × 861.42
4. Step 4: Simplify right side
   1,451.30x = 1,724,633.21
5. Step 5: Solve for x
   x = 1,724,633.21/1,451.30
6. Step 6: Final answer
   x = 1,188.34