Finding the Fourth Proportional to 42,022.64, 57,997.42 and 27,680.17

Step by Step Solution

1. Step 1: Write the proportion equation
   42,022.64 : 57,997.42 = 27,680.17 : x
2. Step 2: Convert to fraction form
   42,022.64/57,997.42 = 27,680.17/x
3. Step 3: Cross multiply
   42,022.64x = 57,997.42 × 27,680.17
4. Step 4: Simplify right side
   42,022.64x = 1,605,378,322.10
5. Step 5: Solve for x
   x = 1,605,378,322.10/42,022.64
6. Step 6: Final answer
   x = 38,202.70