Finding the Fourth Proportional to 9,905.50, 13,669.59 and 5,926.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,905.50 : 13,669.59 = 5,926.78 : x
2. Step 2: Convert to fraction form
   9,905.50/13,669.59 = 5,926.78/x
3. Step 3: Cross multiply
   9,905.50x = 13,669.59 × 5,926.78
4. Step 4: Simplify right side
   9,905.50x = 81,016,652.62
5. Step 5: Solve for x
   x = 81,016,652.62/9,905.50
6. Step 6: Final answer
   x = 8,178.96