Finding the Fourth Proportional to 1,085.39, 1,627.16 and 435.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.39 : 1,627.16 = 435.77 : x
2. Step 2: Convert to fraction form
   1,085.39/1,627.16 = 435.77/x
3. Step 3: Cross multiply
   1,085.39x = 1,627.16 × 435.77
4. Step 4: Simplify right side
   1,085.39x = 709,057.20
5. Step 5: Solve for x
   x = 709,057.20/1,085.39
6. Step 6: Final answer
   x = 653.28