Finding the Fourth Proportional to 1,109.34, 1,661.84 and 864.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.34 : 1,661.84 = 864.72 : x
2. Step 2: Convert to fraction form
   1,109.34/1,661.84 = 864.72/x
3. Step 3: Cross multiply
   1,109.34x = 1,661.84 × 864.72
4. Step 4: Simplify right side
   1,109.34x = 1,437,026.28
5. Step 5: Solve for x
   x = 1,437,026.28/1,109.34
6. Step 6: Final answer
   x = 1,295.39