Finding the Fourth Proportional to 1,085.68, 1,629.43 and 469.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.68 : 1,629.43 = 469.86 : x
2. Step 2: Convert to fraction form
   1,085.68/1,629.43 = 469.86/x
3. Step 3: Cross multiply
   1,085.68x = 1,629.43 × 469.86
4. Step 4: Simplify right side
   1,085.68x = 765,603.98
5. Step 5: Solve for x
   x = 765,603.98/1,085.68
6. Step 6: Final answer
   x = 705.18