Finding the Fourth Proportional to 1,096.18, 1,642.32 and 575.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.18 : 1,642.32 = 575.41 : x
2. Step 2: Convert to fraction form
   1,096.18/1,642.32 = 575.41/x
3. Step 3: Cross multiply
   1,096.18x = 1,642.32 × 575.41
4. Step 4: Simplify right side
   1,096.18x = 945,007.35
5. Step 5: Solve for x
   x = 945,007.35/1,096.18
6. Step 6: Final answer
   x = 862.09