Finding the Fourth Proportional to 9,896.21, 13,656.71 and 5,917.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.21 : 13,656.71 = 5,917.49 : x
2. Step 2: Convert to fraction form
   9,896.21/13,656.71 = 5,917.49/x
3. Step 3: Cross multiply
   9,896.21x = 13,656.71 × 5,917.49
4. Step 4: Simplify right side
   9,896.21x = 80,813,415.27
5. Step 5: Solve for x
   x = 80,813,415.27/9,896.21
6. Step 6: Final answer
   x = 8,166.10