Finding the Fourth Proportional to 2,065.01, 3,095.69 and 765.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.01 : 3,095.69 = 765.63 : x
2. Step 2: Convert to fraction form
   2,065.01/3,095.69 = 765.63/x
3. Step 3: Cross multiply
   2,065.01x = 3,095.69 × 765.63
4. Step 4: Simplify right side
   2,065.01x = 2,370,149.31
5. Step 5: Solve for x
   x = 2,370,149.31/2,065.01
6. Step 6: Final answer
   x = 1,147.77