Finding the Fourth Proportional to 1,165.27, 1,738.82 and 1,061.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.27 : 1,738.82 = 1,061.77 : x
2. Step 2: Convert to fraction form
   1,165.27/1,738.82 = 1,061.77/x
3. Step 3: Cross multiply
   1,165.27x = 1,738.82 × 1,061.77
4. Step 4: Simplify right side
   1,165.27x = 1,846,226.91
5. Step 5: Solve for x
   x = 1,846,226.91/1,165.27
6. Step 6: Final answer
   x = 1,584.38