Finding the Fourth Proportional to 9,816.74, 13,543.83 and 5,567.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816.74 : 13,543.83 = 5,567.27 : x
2. Step 2: Convert to fraction form
   9,816.74/13,543.83 = 5,567.27/x
3. Step 3: Cross multiply
   9,816.74x = 13,543.83 × 5,567.27
4. Step 4: Simplify right side
   9,816.74x = 75,402,158.44
5. Step 5: Solve for x
   x = 75,402,158.44/9,816.74
6. Step 6: Final answer
   x = 7,680.98