Finding the Fourth Proportional to 9,665.62, 13,338.55 and 5,888.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.62 : 13,338.55 = 5,888.78 : x
2. Step 2: Convert to fraction form
   9,665.62/13,338.55 = 5,888.78/x
3. Step 3: Cross multiply
   9,665.62x = 13,338.55 × 5,888.78
4. Step 4: Simplify right side
   9,665.62x = 78,547,786.47
5. Step 5: Solve for x
   x = 78,547,786.47/9,665.62
6. Step 6: Final answer
   x = 8,126.52