Finding the Fourth Proportional to 1,085.96, 1,627.78 and 355.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.96 : 1,627.78 = 355.34 : x
2. Step 2: Convert to fraction form
   1,085.96/1,627.78 = 355.34/x
3. Step 3: Cross multiply
   1,085.96x = 1,627.78 × 355.34
4. Step 4: Simplify right side
   1,085.96x = 578,415.35
5. Step 5: Solve for x
   x = 578,415.35/1,085.96
6. Step 6: Final answer
   x = 532.63