Finding the Fourth Proportional to 1,996.34, 2,994.71 and 764.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,996.34 : 2,994.71 = 764.78 : x
2. Step 2: Convert to fraction form
   1,996.34/2,994.71 = 764.78/x
3. Step 3: Cross multiply
   1,996.34x = 2,994.71 × 764.78
4. Step 4: Simplify right side
   1,996.34x = 2,290,275.52
5. Step 5: Solve for x
   x = 2,290,275.52/1,996.34
6. Step 6: Final answer
   x = 1,147.24