Finding the Fourth Proportional to 2,038.42, 3,057.12 and 577.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,038.42 : 3,057.12 = 577.72 : x
2. Step 2: Convert to fraction form
   2,038.42/3,057.12 = 577.72/x
3. Step 3: Cross multiply
   2,038.42x = 3,057.12 × 577.72
4. Step 4: Simplify right side
   2,038.42x = 1,766,159.37
5. Step 5: Solve for x
   x = 1,766,159.37/2,038.42
6. Step 6: Final answer
   x = 866.44