Finding the Fourth Proportional to 9,856.24, 13,603.02 and 5,663.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.24 : 13,603.02 = 5,663.68 : x
2. Step 2: Convert to fraction form
   9,856.24/13,603.02 = 5,663.68/x
3. Step 3: Cross multiply
   9,856.24x = 13,603.02 × 5,663.68
4. Step 4: Simplify right side
   9,856.24x = 77,043,152.31
5. Step 5: Solve for x
   x = 77,043,152.31/9,856.24
6. Step 6: Final answer
   x = 7,816.69