Finding the Fourth Proportional to 9,826.05, 13,555.53 and 6,638.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.05 : 13,555.53 = 6,638.30 : x
2. Step 2: Convert to fraction form
   9,826.05/13,555.53 = 6,638.30/x
3. Step 3: Cross multiply
   9,826.05x = 13,555.53 × 6,638.30
4. Step 4: Simplify right side
   9,826.05x = 89,985,607.02
5. Step 5: Solve for x
   x = 89,985,607.02/9,826.05
6. Step 6: Final answer
   x = 9,157.86