Finding the Fourth Proportional to 10,037.66, 13,851.96 and 5,561.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,037.66 : 13,851.96 = 5,561.42 : x
2. Step 2: Convert to fraction form
   10,037.66/13,851.96 = 5,561.42/x
3. Step 3: Cross multiply
   10,037.66x = 13,851.96 × 5,561.42
4. Step 4: Simplify right side
   10,037.66x = 77,036,567.38
5. Step 5: Solve for x
   x = 77,036,567.38/10,037.66
6. Step 6: Final answer
   x = 7,674.75