Finding the Fourth Proportional to 1,442.34, 1,989.42 and 1,165.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,442.34 : 1,989.42 = 1,165.55 : x
2. Step 2: Convert to fraction form
   1,442.34/1,989.42 = 1,165.55/x
3. Step 3: Cross multiply
   1,442.34x = 1,989.42 × 1,165.55
4. Step 4: Simplify right side
   1,442.34x = 2,318,758.53
5. Step 5: Solve for x
   x = 2,318,758.53/1,442.34
6. Step 6: Final answer
   x = 1,607.64