Finding the Fourth Proportional to 2,089.22, 3,131.88 and 772.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.22 : 3,131.88 = 772.24 : x
2. Step 2: Convert to fraction form
   2,089.22/3,131.88 = 772.24/x
3. Step 3: Cross multiply
   2,089.22x = 3,131.88 × 772.24
4. Step 4: Simplify right side
   2,089.22x = 2,418,563.01
5. Step 5: Solve for x
   x = 2,418,563.01/2,089.22
6. Step 6: Final answer
   x = 1,157.64