Finding the Fourth Proportional to 6,822.42, 9,415.89 and 5,701.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,822.42 : 9,415.89 = 5,701.56 : x
2. Step 2: Convert to fraction form
   6,822.42/9,415.89 = 5,701.56/x
3. Step 3: Cross multiply
   6,822.42x = 9,415.89 × 5,701.56
4. Step 4: Simplify right side
   6,822.42x = 53,685,261.79
5. Step 5: Solve for x
   x = 53,685,261.79/6,822.42
6. Step 6: Final answer
   x = 7,868.95