Finding the Fourth Proportional to 9,808.15, 13,538.71 and 5,829.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,808.15 : 13,538.71 = 5,829.21 : x
2. Step 2: Convert to fraction form
   9,808.15/13,538.71 = 5,829.21/x
3. Step 3: Cross multiply
   9,808.15x = 13,538.71 × 5,829.21
4. Step 4: Simplify right side
   9,808.15x = 78,919,983.72
5. Step 5: Solve for x
   x = 78,919,983.72/9,808.15
6. Step 6: Final answer
   x = 8,046.37