Finding the Fourth Proportional to 9,816.57, 13,547.51 and 5,567.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816.57 : 13,547.51 = 5,567.63 : x
2. Step 2: Convert to fraction form
   9,816.57/13,547.51 = 5,567.63/x
3. Step 3: Cross multiply
   9,816.57x = 13,547.51 × 5,567.63
4. Step 4: Simplify right side
   9,816.57x = 75,427,427.53
5. Step 5: Solve for x
   x = 75,427,427.53/9,816.57
6. Step 6: Final answer
   x = 7,683.68