Finding the Fourth Proportional to 2,152.42, 3,225.92 and 1,165.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.42 : 3,225.92 = 1,165.20 : x
2. Step 2: Convert to fraction form
   2,152.42/3,225.92 = 1,165.20/x
3. Step 3: Cross multiply
   2,152.42x = 3,225.92 × 1,165.20
4. Step 4: Simplify right side
   2,152.42x = 3,758,828.77
5. Step 5: Solve for x
   x = 3,758,828.77/2,152.42
6. Step 6: Final answer
   x = 1,746.33