Finding the Fourth Proportional to 1,085.75, 1,629.53 and 469.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.75 : 1,629.53 = 469.91 : x
2. Step 2: Convert to fraction form
   1,085.75/1,629.53 = 469.91/x
3. Step 3: Cross multiply
   1,085.75x = 1,629.53 × 469.91
4. Step 4: Simplify right side
   1,085.75x = 765,730.09
5. Step 5: Solve for x
   x = 765,730.09/1,085.75
6. Step 6: Final answer
   x = 705.26