Finding the Fourth Proportional to 3,705.77, 5,112.24 and 2,288.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,705.77 : 5,112.24 = 2,288.27 : x
2. Step 2: Convert to fraction form
   3,705.77/5,112.24 = 2,288.27/x
3. Step 3: Cross multiply
   3,705.77x = 5,112.24 × 2,288.27
4. Step 4: Simplify right side
   3,705.77x = 11,698,185.42
5. Step 5: Solve for x
   x = 11,698,185.42/3,705.77
6. Step 6: Final answer
   x = 3,156.75