Finding the Fourth Proportional to 1,150.78, 1,586.18 and 814.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.78 : 1,586.18 = 814.25 : x
2. Step 2: Convert to fraction form
   1,150.78/1,586.18 = 814.25/x
3. Step 3: Cross multiply
   1,150.78x = 1,586.18 × 814.25
4. Step 4: Simplify right side
   1,150.78x = 1,291,547.07
5. Step 5: Solve for x
   x = 1,291,547.07/1,150.78
6. Step 6: Final answer
   x = 1,122.32