Finding the Fourth Proportional to 1,084.62, 1,627.86 and 435.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.62 : 1,627.86 = 435.82 : x
2. Step 2: Convert to fraction form
   1,084.62/1,627.86 = 435.82/x
3. Step 3: Cross multiply
   1,084.62x = 1,627.86 × 435.82
4. Step 4: Simplify right side
   1,084.62x = 709,453.95
5. Step 5: Solve for x
   x = 709,453.95/1,084.62
6. Step 6: Final answer
   x = 654.10