Finding the Fourth Proportional to 6,365.40, 9,501.59 and 5,896.41

Step by Step Solution

1. Step 1: Write the proportion equation
   6,365.40 : 9,501.59 = 5,896.41 : x
2. Step 2: Convert to fraction form
   6,365.40/9,501.59 = 5,896.41/x
3. Step 3: Cross multiply
   6,365.40x = 9,501.59 × 5,896.41
4. Step 4: Simplify right side
   6,365.40x = 56,025,240.81
5. Step 5: Solve for x
   x = 56,025,240.81/6,365.40
6. Step 6: Final answer
   x = 8,801.53