Finding the Fourth Proportional to 2,147.50, 3,219.72 and 976.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,147.50 : 3,219.72 = 976.92 : x
2. Step 2: Convert to fraction form
   2,147.50/3,219.72 = 976.92/x
3. Step 3: Cross multiply
   2,147.50x = 3,219.72 × 976.92
4. Step 4: Simplify right side
   2,147.50x = 3,145,408.86
5. Step 5: Solve for x
   x = 3,145,408.86/2,147.50
6. Step 6: Final answer
   x = 1,464.68