Finding the Fourth Proportional to 6,977.88, 10,514.82 and 5,772.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,977.88 : 10,514.82 = 5,772.42 : x
2. Step 2: Convert to fraction form
   6,977.88/10,514.82 = 5,772.42/x
3. Step 3: Cross multiply
   6,977.88x = 10,514.82 × 5,772.42
4. Step 4: Simplify right side
   6,977.88x = 60,695,957.26
5. Step 5: Solve for x
   x = 60,695,957.26/6,977.88
6. Step 6: Final answer
   x = 8,698.34