Finding the Fourth Proportional to 9,817.47, 13,547.34 and 5,568.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,817.47 : 13,547.34 = 5,568.57 : x
2. Step 2: Convert to fraction form
   9,817.47/13,547.34 = 5,568.57/x
3. Step 3: Cross multiply
   9,817.47x = 13,547.34 × 5,568.57
4. Step 4: Simplify right side
   9,817.47x = 75,439,311.10
5. Step 5: Solve for x
   x = 75,439,311.10/9,817.47
6. Step 6: Final answer
   x = 7,684.19