Finding the Fourth Proportional to 9,926.60, 13,697.82 and 5,676.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,926.60 : 13,697.82 = 5,676.82 : x
2. Step 2: Convert to fraction form
   9,926.60/13,697.82 = 5,676.82/x
3. Step 3: Cross multiply
   9,926.60x = 13,697.82 × 5,676.82
4. Step 4: Simplify right side
   9,926.60x = 77,760,058.53
5. Step 5: Solve for x
   x = 77,760,058.53/9,926.60
6. Step 6: Final answer
   x = 7,833.50