Finding the Fourth Proportional to 2,614.01, 3,921.62 and 765.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.01 : 3,921.62 = 765.14 : x
2. Step 2: Convert to fraction form
   2,614.01/3,921.62 = 765.14/x
3. Step 3: Cross multiply
   2,614.01x = 3,921.62 × 765.14
4. Step 4: Simplify right side
   2,614.01x = 3,000,564.89
5. Step 5: Solve for x
   x = 3,000,564.89/2,614.01
6. Step 6: Final answer
   x = 1,147.88