Finding the Fourth Proportional to 9,875.08, 13,628.56 and 5,896.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,875.08 : 13,628.56 = 5,896.16 : x
2. Step 2: Convert to fraction form
   9,875.08/13,628.56 = 5,896.16/x
3. Step 3: Cross multiply
   9,875.08x = 13,628.56 × 5,896.16
4. Step 4: Simplify right side
   9,875.08x = 80,356,170.33
5. Step 5: Solve for x
   x = 80,356,170.33/9,875.08
6. Step 6: Final answer
   x = 8,137.27