Finding the Fourth Proportional to 9,911.70, 13,677.12 and 5,663.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,911.70 : 13,677.12 = 5,663.82 : x
2. Step 2: Convert to fraction form
   9,911.70/13,677.12 = 5,663.82/x
3. Step 3: Cross multiply
   9,911.70x = 13,677.12 × 5,663.82
4. Step 4: Simplify right side
   9,911.70x = 77,464,797.09
5. Step 5: Solve for x
   x = 77,464,797.09/9,911.70
6. Step 6: Final answer
   x = 7,815.49