Finding the Fourth Proportional to 2,064.57, 3,097.35 and 766.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,064.57 : 3,097.35 = 766.05 : x
2. Step 2: Convert to fraction form
   2,064.57/3,097.35 = 766.05/x
3. Step 3: Cross multiply
   2,064.57x = 3,097.35 × 766.05
4. Step 4: Simplify right side
   2,064.57x = 2,372,721.14
5. Step 5: Solve for x
   x = 2,372,721.14/2,064.57
6. Step 6: Final answer
   x = 1,149.26