Finding the Fourth Proportional to 2,071.59, 3,107.38 and 772.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.59 : 3,107.38 = 772.75 : x
2. Step 2: Convert to fraction form
   2,071.59/3,107.38 = 772.75/x
3. Step 3: Cross multiply
   2,071.59x = 3,107.38 × 772.75
4. Step 4: Simplify right side
   2,071.59x = 2,401,227.90
5. Step 5: Solve for x
   x = 2,401,227.90/2,071.59
6. Step 6: Final answer
   x = 1,159.12