Finding the Fourth Proportional to 1,165.32, 1,606.52 and 791.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.32 : 1,606.52 = 791.72 : x
2. Step 2: Convert to fraction form
   1,165.32/1,606.52 = 791.72/x
3. Step 3: Cross multiply
   1,165.32x = 1,606.52 × 791.72
4. Step 4: Simplify right side
   1,165.32x = 1,271,914.01
5. Step 5: Solve for x
   x = 1,271,914.01/1,165.32
6. Step 6: Final answer
   x = 1,091.47