Finding the Fourth Proportional to 9,856.27, 13,599.62 and 5,663.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.27 : 13,599.62 = 5,663.71 : x
2. Step 2: Convert to fraction form
   9,856.27/13,599.62 = 5,663.71/x
3. Step 3: Cross multiply
   9,856.27x = 13,599.62 × 5,663.71
4. Step 4: Simplify right side
   9,856.27x = 77,024,262.71
5. Step 5: Solve for x
   x = 77,024,262.71/9,856.27
6. Step 6: Final answer
   x = 7,814.75