Finding the Fourth Proportional to 2,131.75, 3,198.84 and 977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,131.75 : 3,198.84 = 977.50 : x
2. Step 2: Convert to fraction form
   2,131.75/3,198.84 = 977.50/x
3. Step 3: Cross multiply
   2,131.75x = 3,198.84 × 977.50
4. Step 4: Simplify right side
   2,131.75x = 3,126,866.10
5. Step 5: Solve for x
   x = 3,126,866.10/2,131.75
6. Step 6: Final answer
   x = 1,466.81