Finding the Fourth Proportional to 2,314.50, 3,471.93 and 775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.50 : 3,471.93 = 775.50 : x
2. Step 2: Convert to fraction form
   2,314.50/3,471.93 = 775.50/x
3. Step 3: Cross multiply
   2,314.50x = 3,471.93 × 775.50
4. Step 4: Simplify right side
   2,314.50x = 2,692,481.72
5. Step 5: Solve for x
   x = 2,692,481.72/2,314.50
6. Step 6: Final answer
   x = 1,163.31