Finding the Fourth Proportional to 2,615.34, 3,923.76 and 766.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,615.34 : 3,923.76 = 766.46 : x
2. Step 2: Convert to fraction form
   2,615.34/3,923.76 = 766.46/x
3. Step 3: Cross multiply
   2,615.34x = 3,923.76 × 766.46
4. Step 4: Simplify right side
   2,615.34x = 3,007,405.09
5. Step 5: Solve for x
   x = 3,007,405.09/2,615.34
6. Step 6: Final answer
   x = 1,149.91