Finding the Fourth Proportional to 9,665.98, 13,338.42 and 5,686.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.98 : 13,338.42 = 5,686.32 : x
2. Step 2: Convert to fraction form
   9,665.98/13,338.42 = 5,686.32/x
3. Step 3: Cross multiply
   9,665.98x = 13,338.42 × 5,686.32
4. Step 4: Simplify right side
   9,665.98x = 75,846,557.76
5. Step 5: Solve for x
   x = 75,846,557.76/9,665.98
6. Step 6: Final answer
   x = 7,846.75