Finding the Fourth Proportional to 2,090.82, 3,137.45 and 775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,090.82 : 3,137.45 = 775.50 : x
2. Step 2: Convert to fraction form
   2,090.82/3,137.45 = 775.50/x
3. Step 3: Cross multiply
   2,090.82x = 3,137.45 × 775.50
4. Step 4: Simplify right side
   2,090.82x = 2,433,088.60
5. Step 5: Solve for x
   x = 2,433,088.60/2,090.82
6. Step 6: Final answer
   x = 1,163.70