Finding the Fourth Proportional to 9,665.60, 13,338.76 and 5,686.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.60 : 13,338.76 = 5,686.92 : x
2. Step 2: Convert to fraction form
   9,665.60/13,338.76 = 5,686.92/x
3. Step 3: Cross multiply
   9,665.60x = 13,338.76 × 5,686.92
4. Step 4: Simplify right side
   9,665.60x = 75,856,461.02
5. Step 5: Solve for x
   x = 75,856,461.02/9,665.60
6. Step 6: Final answer
   x = 7,848.09