Finding the Fourth Proportional to 2,565.60, 3,846.96 and 810.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.60 : 3,846.96 = 810.12 : x
2. Step 2: Convert to fraction form
   2,565.60/3,846.96 = 810.12/x
3. Step 3: Cross multiply
   2,565.60x = 3,846.96 × 810.12
4. Step 4: Simplify right side
   2,565.60x = 3,116,499.24
5. Step 5: Solve for x
   x = 3,116,499.24/2,565.60
6. Step 6: Final answer
   x = 1,214.73