Finding the Fourth Proportional to 1,165.55, 1,609.25 and 792.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.55 : 1,609.25 = 792.83 : x
2. Step 2: Convert to fraction form
   1,165.55/1,609.25 = 792.83/x
3. Step 3: Cross multiply
   1,165.55x = 1,609.25 × 792.83
4. Step 4: Simplify right side
   1,165.55x = 1,275,849.67
5. Step 5: Solve for x
   x = 1,275,849.67/1,165.55
6. Step 6: Final answer
   x = 1,094.64