Finding the Fourth Proportional to 1,922.30, 2,652.78 and 1,165.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,922.30 : 2,652.78 = 1,165.83 : x
2. Step 2: Convert to fraction form
   1,922.30/2,652.78 = 1,165.83/x
3. Step 3: Cross multiply
   1,922.30x = 2,652.78 × 1,165.83
4. Step 4: Simplify right side
   1,922.30x = 3,092,674.33
5. Step 5: Solve for x
   x = 3,092,674.33/1,922.30
6. Step 6: Final answer
   x = 1,608.84