Finding the Fourth Proportional to 9,664.56, 14,501.76 and 3,826.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.56 : 14,501.76 = 3,826.08 : x
2. Step 2: Convert to fraction form
   9,664.56/14,501.76 = 3,826.08/x
3. Step 3: Cross multiply
   9,664.56x = 14,501.76 × 3,826.08
4. Step 4: Simplify right side
   9,664.56x = 55,484,893.90
5. Step 5: Solve for x
   x = 55,484,893.90/9,664.56
6. Step 6: Final answer
   x = 5,741.07