Finding the Fourth Proportional to 5,164.64, 7,727.82 and 3,085.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,164.64 : 7,727.82 = 3,085.78 : x
2. Step 2: Convert to fraction form
   5,164.64/7,727.82 = 3,085.78/x
3. Step 3: Cross multiply
   5,164.64x = 7,727.82 × 3,085.78
4. Step 4: Simplify right side
   5,164.64x = 23,846,313.76
5. Step 5: Solve for x
   x = 23,846,313.76/5,164.64
6. Step 6: Final answer
   x = 4,617.23