Finding the Fourth Proportional to 1,728.64, 2,384.74 and 1,169.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,728.64 : 2,384.74 = 1,169.59 : x
2. Step 2: Convert to fraction form
   1,728.64/2,384.74 = 1,169.59/x
3. Step 3: Cross multiply
   1,728.64x = 2,384.74 × 1,169.59
4. Step 4: Simplify right side
   1,728.64x = 2,789,168.03
5. Step 5: Solve for x
   x = 2,789,168.03/1,728.64
6. Step 6: Final answer
   x = 1,613.50