Finding the Fourth Proportional to 38,538.72, 57,807.78 and 19,824

Step by Step Solution

1. Step 1: Write the proportion equation
   38,538.72 : 57,807.78 = 19,824 : x
2. Step 2: Convert to fraction form
   38,538.72/57,807.78 = 19,824/x
3. Step 3: Cross multiply
   38,538.72x = 57,807.78 × 19,824
4. Step 4: Simplify right side
   38,538.72x = 1,145,981,430.72
5. Step 5: Solve for x
   x = 1,145,981,430.72/38,538.72
6. Step 6: Final answer
   x = 29,735.85