Finding the Fourth Proportional to 1,159.52, 1,736.69 and 1,028.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.52 : 1,736.69 = 1,028.19 : x
2. Step 2: Convert to fraction form
   1,159.52/1,736.69 = 1,028.19/x
3. Step 3: Cross multiply
   1,159.52x = 1,736.69 × 1,028.19
4. Step 4: Simplify right side
   1,159.52x = 1,785,642.15
5. Step 5: Solve for x
   x = 1,785,642.15/1,159.52
6. Step 6: Final answer
   x = 1,539.99