Finding the Fourth Proportional to 1,109.47, 1,530.78 and 814.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.47 : 1,530.78 = 814.22 : x
2. Step 2: Convert to fraction form
   1,109.47/1,530.78 = 814.22/x
3. Step 3: Cross multiply
   1,109.47x = 1,530.78 × 814.22
4. Step 4: Simplify right side
   1,109.47x = 1,246,391.69
5. Step 5: Solve for x
   x = 1,246,391.69/1,109.47
6. Step 6: Final answer
   x = 1,123.42