Finding the Fourth Proportional to 1,166.28, 1,610.69 and 886.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.28 : 1,610.69 = 886.52 : x
2. Step 2: Convert to fraction form
   1,166.28/1,610.69 = 886.52/x
3. Step 3: Cross multiply
   1,166.28x = 1,610.69 × 886.52
4. Step 4: Simplify right side
   1,166.28x = 1,427,908.90
5. Step 5: Solve for x
   x = 1,427,908.90/1,166.28
6. Step 6: Final answer
   x = 1,224.33