Finding the Fourth Proportional to 35,738.72, 49,320.20 and 19,822.64

Step by Step Solution

1. Step 1: Write the proportion equation
   35,738.72 : 49,320.20 = 19,822.64 : x
2. Step 2: Convert to fraction form
   35,738.72/49,320.20 = 19,822.64/x
3. Step 3: Cross multiply
   35,738.72x = 49,320.20 × 19,822.64
4. Step 4: Simplify right side
   35,738.72x = 977,656,569.33
5. Step 5: Solve for x
   x = 977,656,569.33/35,738.72
6. Step 6: Final answer
   x = 27,355.67