Finding the Fourth Proportional to 2,086.98, 3,131.22 and 770.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.98 : 3,131.22 = 770.76 : x
2. Step 2: Convert to fraction form
   2,086.98/3,131.22 = 770.76/x
3. Step 3: Cross multiply
   2,086.98x = 3,131.22 × 770.76
4. Step 4: Simplify right side
   2,086.98x = 2,413,419.13
5. Step 5: Solve for x
   x = 2,413,419.13/2,086.98
6. Step 6: Final answer
   x = 1,156.42