Finding the Fourth Proportional to 1,937.96, 2,906.69 and 768.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,937.96 : 2,906.69 = 768.83 : x
2. Step 2: Convert to fraction form
   1,937.96/2,906.69 = 768.83/x
3. Step 3: Cross multiply
   1,937.96x = 2,906.69 × 768.83
4. Step 4: Simplify right side
   1,937.96x = 2,234,732.10
5. Step 5: Solve for x
   x = 2,234,732.10/1,937.96
6. Step 6: Final answer
   x = 1,153.14