Finding the Fourth Proportional to 9,676.42, 13,355.34 and 5,700.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,676.42 : 13,355.34 = 5,700.94 : x
2. Step 2: Convert to fraction form
   9,676.42/13,355.34 = 5,700.94/x
3. Step 3: Cross multiply
   9,676.42x = 13,355.34 × 5,700.94
4. Step 4: Simplify right side
   9,676.42x = 76,137,992.02
5. Step 5: Solve for x
   x = 76,137,992.02/9,676.42
6. Step 6: Final answer
   x = 7,868.41