Finding the Fourth Proportional to 9,816.71, 13,543.74 and 5,567.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816.71 : 13,543.74 = 5,567.31 : x
2. Step 2: Convert to fraction form
   9,816.71/13,543.74 = 5,567.31/x
3. Step 3: Cross multiply
   9,816.71x = 13,543.74 × 5,567.31
4. Step 4: Simplify right side
   9,816.71x = 75,402,199.14
5. Step 5: Solve for x
   x = 75,402,199.14/9,816.71
6. Step 6: Final answer
   x = 7,681.01