Finding the Fourth Proportional to 1,152.08, 1,736.63 and 1,085.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.08 : 1,736.63 = 1,085.20 : x
2. Step 2: Convert to fraction form
   1,152.08/1,736.63 = 1,085.20/x
3. Step 3: Cross multiply
   1,152.08x = 1,736.63 × 1,085.20
4. Step 4: Simplify right side
   1,152.08x = 1,884,590.88
5. Step 5: Solve for x
   x = 1,884,590.88/1,152.08
6. Step 6: Final answer
   x = 1,635.82