Finding the Fourth Proportional to 1,109.84, 1,662.59 and 865.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.84 : 1,662.59 = 865.22 : x
2. Step 2: Convert to fraction form
   1,109.84/1,662.59 = 865.22/x
3. Step 3: Cross multiply
   1,109.84x = 1,662.59 × 865.22
4. Step 4: Simplify right side
   1,109.84x = 1,438,506.12
5. Step 5: Solve for x
   x = 1,438,506.12/1,109.84
6. Step 6: Final answer
   x = 1,296.14