Finding the Fourth Proportional to 2,564.50, 3,846.30 and 921.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.50 : 3,846.30 = 921.10 : x
2. Step 2: Convert to fraction form
   2,564.50/3,846.30 = 921.10/x
3. Step 3: Cross multiply
   2,564.50x = 3,846.30 × 921.10
4. Step 4: Simplify right side
   2,564.50x = 3,542,826.93
5. Step 5: Solve for x
   x = 3,542,826.93/2,564.50
6. Step 6: Final answer
   x = 1,381.49