Finding the Fourth Proportional to 2,089.92, 2,884.14 and 1,158.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.92 : 2,884.14 = 1,158.42 : x
2. Step 2: Convert to fraction form
   2,089.92/2,884.14 = 1,158.42/x
3. Step 3: Cross multiply
   2,089.92x = 2,884.14 × 1,158.42
4. Step 4: Simplify right side
   2,089.92x = 3,341,045.46
5. Step 5: Solve for x
   x = 3,341,045.46/2,089.92
6. Step 6: Final answer
   x = 1,598.65