Finding the Fourth Proportional to 1,938.04, 2,906.62 and 767.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,938.04 : 2,906.62 = 767.72 : x
2. Step 2: Convert to fraction form
   1,938.04/2,906.62 = 767.72/x
3. Step 3: Cross multiply
   1,938.04x = 2,906.62 × 767.72
4. Step 4: Simplify right side
   1,938.04x = 2,231,470.31
5. Step 5: Solve for x
   x = 2,231,470.31/1,938.04
6. Step 6: Final answer
   x = 1,151.41