Finding the Fourth Proportional to 1,085.67, 1,627.29 and 469.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.67 : 1,627.29 = 469.89 : x
2. Step 2: Convert to fraction form
   1,085.67/1,627.29 = 469.89/x
3. Step 3: Cross multiply
   1,085.67x = 1,627.29 × 469.89
4. Step 4: Simplify right side
   1,085.67x = 764,647.30
5. Step 5: Solve for x
   x = 764,647.30/1,085.67
6. Step 6: Final answer
   x = 704.31