Finding the Fourth Proportional to 2,564.01, 3,847.50 and 921.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.01 : 3,847.50 = 921.96 : x
2. Step 2: Convert to fraction form
   2,564.01/3,847.50 = 921.96/x
3. Step 3: Cross multiply
   2,564.01x = 3,847.50 × 921.96
4. Step 4: Simplify right side
   2,564.01x = 3,547,241.10
5. Step 5: Solve for x
   x = 3,547,241.10/2,564.01
6. Step 6: Final answer
   x = 1,383.47