Finding the Fourth Proportional to 1,165.35, 1,608.18 and 641.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.35 : 1,608.18 = 641.41 : x
2. Step 2: Convert to fraction form
   1,165.35/1,608.18 = 641.41/x
3. Step 3: Cross multiply
   1,165.35x = 1,608.18 × 641.41
4. Step 4: Simplify right side
   1,165.35x = 1,031,499.53
5. Step 5: Solve for x
   x = 1,031,499.53/1,165.35
6. Step 6: Final answer
   x = 885.15