Finding the Fourth Proportional to 1,322.38, 1,824.96 and 791.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.38 : 1,824.96 = 791.02 : x
2. Step 2: Convert to fraction form
   1,322.38/1,824.96 = 791.02/x
3. Step 3: Cross multiply
   1,322.38x = 1,824.96 × 791.02
4. Step 4: Simplify right side
   1,322.38x = 1,443,579.86
5. Step 5: Solve for x
   x = 1,443,579.86/1,322.38
6. Step 6: Final answer
   x = 1,091.65