Finding the Fourth Proportional to 1,100.72, 1,652.37 and 869.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.72 : 1,652.37 = 869.78 : x
2. Step 2: Convert to fraction form
   1,100.72/1,652.37 = 869.78/x
3. Step 3: Cross multiply
   1,100.72x = 1,652.37 × 869.78
4. Step 4: Simplify right side
   1,100.72x = 1,437,198.38
5. Step 5: Solve for x
   x = 1,437,198.38/1,100.72
6. Step 6: Final answer
   x = 1,305.69