Finding the Fourth Proportional to 2,308.83, 3,462.15 and 768.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,308.83 : 3,462.15 = 768.75 : x
2. Step 2: Convert to fraction form
   2,308.83/3,462.15 = 768.75/x
3. Step 3: Cross multiply
   2,308.83x = 3,462.15 × 768.75
4. Step 4: Simplify right side
   2,308.83x = 2,661,527.81
5. Step 5: Solve for x
   x = 2,661,527.81/2,308.83
6. Step 6: Final answer
   x = 1,152.76