Finding the Fourth Proportional to 9,912.07, 13,678.76 and 5,663.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,912.07 : 13,678.76 = 5,663.69 : x
2. Step 2: Convert to fraction form
   9,912.07/13,678.76 = 5,663.69/x
3. Step 3: Cross multiply
   9,912.07x = 13,678.76 × 5,663.69
4. Step 4: Simplify right side
   9,912.07x = 77,472,253.29
5. Step 5: Solve for x
   x = 77,472,253.29/9,912.07
6. Step 6: Final answer
   x = 7,815.95