Finding the Fourth Proportional to 1,385.14, 1,911.67 and 861.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.14 : 1,911.67 = 861.24 : x
2. Step 2: Convert to fraction form
   1,385.14/1,911.67 = 861.24/x
3. Step 3: Cross multiply
   1,385.14x = 1,911.67 × 861.24
4. Step 4: Simplify right side
   1,385.14x = 1,646,406.67
5. Step 5: Solve for x
   x = 1,646,406.67/1,385.14
6. Step 6: Final answer
   x = 1,188.62