Finding the Fourth Proportional to 9,665.40, 13,341.42 and 5,686.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.40 : 13,341.42 = 5,686.32 : x
2. Step 2: Convert to fraction form
   9,665.40/13,341.42 = 5,686.32/x
3. Step 3: Cross multiply
   9,665.40x = 13,341.42 × 5,686.32
4. Step 4: Simplify right side
   9,665.40x = 75,863,583.37
5. Step 5: Solve for x
   x = 75,863,583.37/9,665.40
6. Step 6: Final answer
   x = 7,848.99