Finding the Fourth Proportional to 9,816.21, 13,543.37 and 5,567.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816.21 : 13,543.37 = 5,567.06 : x
2. Step 2: Convert to fraction form
   9,816.21/13,543.37 = 5,567.06/x
3. Step 3: Cross multiply
   9,816.21x = 13,543.37 × 5,567.06
4. Step 4: Simplify right side
   9,816.21x = 75,396,699.59
5. Step 5: Solve for x
   x = 75,396,699.59/9,816.21
6. Step 6: Final answer
   x = 7,680.83