Finding the Fourth Proportional to 2,146.50, 3,219.37 and 976.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.50 : 3,219.37 = 976.23 : x
2. Step 2: Convert to fraction form
   2,146.50/3,219.37 = 976.23/x
3. Step 3: Cross multiply
   2,146.50x = 3,219.37 × 976.23
4. Step 4: Simplify right side
   2,146.50x = 3,142,836.83
5. Step 5: Solve for x
   x = 3,142,836.83/2,146.50
6. Step 6: Final answer
   x = 1,464.17