Finding the Fourth Proportional to 9,856.75, 13,602.87 and 5,665.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.75 : 13,602.87 = 5,665.27 : x
2. Step 2: Convert to fraction form
   9,856.75/13,602.87 = 5,665.27/x
3. Step 3: Cross multiply
   9,856.75x = 13,602.87 × 5,665.27
4. Step 4: Simplify right side
   9,856.75x = 77,063,931.32
5. Step 5: Solve for x
   x = 77,063,931.32/9,856.75
6. Step 6: Final answer
   x = 7,818.39