Finding the Fourth Proportional to 7,697.84, 10,615.92 and 5,713.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,697.84 : 10,615.92 = 5,713.34 : x
2. Step 2: Convert to fraction form
   7,697.84/10,615.92 = 5,713.34/x
3. Step 3: Cross multiply
   7,697.84x = 10,615.92 × 5,713.34
4. Step 4: Simplify right side
   7,697.84x = 60,652,360.37
5. Step 5: Solve for x
   x = 60,652,360.37/7,697.84
6. Step 6: Final answer
   x = 7,879.14