Finding the Fourth Proportional to 9,814.66, 13,543.94 and 5,566.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.66 : 13,543.94 = 5,566.12 : x
2. Step 2: Convert to fraction form
   9,814.66/13,543.94 = 5,566.12/x
3. Step 3: Cross multiply
   9,814.66x = 13,543.94 × 5,566.12
4. Step 4: Simplify right side
   9,814.66x = 75,387,175.37
5. Step 5: Solve for x
   x = 75,387,175.37/9,814.66
6. Step 6: Final answer
   x = 7,681.08