Finding the Fourth Proportional to 2,564.83, 3,847.76 and 810.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.83 : 3,847.76 = 810.11 : x
2. Step 2: Convert to fraction form
   2,564.83/3,847.76 = 810.11/x
3. Step 3: Cross multiply
   2,564.83x = 3,847.76 × 810.11
4. Step 4: Simplify right side
   2,564.83x = 3,117,091.64
5. Step 5: Solve for x
   x = 3,117,091.64/2,564.83
6. Step 6: Final answer
   x = 1,215.32