Finding the Fourth Proportional to 2,152.42, 3,228.81 and 766.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.42 : 3,228.81 = 766.51 : x
2. Step 2: Convert to fraction form
   2,152.42/3,228.81 = 766.51/x
3. Step 3: Cross multiply
   2,152.42x = 3,228.81 × 766.51
4. Step 4: Simplify right side
   2,152.42x = 2,474,915.15
5. Step 5: Solve for x
   x = 2,474,915.15/2,152.42
6. Step 6: Final answer
   x = 1,149.83