Finding the Fourth Proportional to 9,817.81, 13,546.27 and 5,567.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,817.81 : 13,546.27 = 5,567.94 : x
2. Step 2: Convert to fraction form
   9,817.81/13,546.27 = 5,567.94/x
3. Step 3: Cross multiply
   9,817.81x = 13,546.27 × 5,567.94
4. Step 4: Simplify right side
   9,817.81x = 75,424,825.54
5. Step 5: Solve for x
   x = 75,424,825.54/9,817.81
6. Step 6: Final answer
   x = 7,682.45