Finding the Fourth Proportional to 1,024.06, 1,411.94 and 866.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.06 : 1,411.94 = 866.42 : x
2. Step 2: Convert to fraction form
   1,024.06/1,411.94 = 866.42/x
3. Step 3: Cross multiply
   1,024.06x = 1,411.94 × 866.42
4. Step 4: Simplify right side
   1,024.06x = 1,223,333.05
5. Step 5: Solve for x
   x = 1,223,333.05/1,024.06
6. Step 6: Final answer
   x = 1,194.59