Finding the Fourth Proportional to 37,078.34, 51,168.24 and 20,082.78

Step by Step Solution

1. Step 1: Write the proportion equation
   37,078.34 : 51,168.24 = 20,082.78 : x
2. Step 2: Convert to fraction form
   37,078.34/51,168.24 = 20,082.78/x
3. Step 3: Cross multiply
   37,078.34x = 51,168.24 × 20,082.78
4. Step 4: Simplify right side
   37,078.34x = 1,027,600,506.91
5. Step 5: Solve for x
   x = 1,027,600,506.91/37,078.34
6. Step 6: Final answer
   x = 27,714.31