Finding the Fourth Proportional to 9,816.60, 13,546.83 and 5,567.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816.60 : 13,546.83 = 5,567.61 : x
2. Step 2: Convert to fraction form
   9,816.60/13,546.83 = 5,567.61/x
3. Step 3: Cross multiply
   9,816.60x = 13,546.83 × 5,567.61
4. Step 4: Simplify right side
   9,816.60x = 75,423,466.18
5. Step 5: Solve for x
   x = 75,423,466.18/9,816.60
6. Step 6: Final answer
   x = 7,683.26