Finding the Fourth Proportional to 1,085.31, 1,627.69 and 435.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.31 : 1,627.69 = 435.69 : x
2. Step 2: Convert to fraction form
   1,085.31/1,627.69 = 435.69/x
3. Step 3: Cross multiply
   1,085.31x = 1,627.69 × 435.69
4. Step 4: Simplify right side
   1,085.31x = 709,168.26
5. Step 5: Solve for x
   x = 709,168.26/1,085.31
6. Step 6: Final answer
   x = 653.42