Finding the Fourth Proportional to 1,096.32, 1,643.57 and 853.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.32 : 1,643.57 = 853.93 : x
2. Step 2: Convert to fraction form
   1,096.32/1,643.57 = 853.93/x
3. Step 3: Cross multiply
   1,096.32x = 1,643.57 × 853.93
4. Step 4: Simplify right side
   1,096.32x = 1,403,493.73
5. Step 5: Solve for x
   x = 1,403,493.73/1,096.32
6. Step 6: Final answer
   x = 1,280.19