Finding the Fourth Proportional to 10,037.34, 13,851.65 and 5,561.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,037.34 : 13,851.65 = 5,561.16 : x
2. Step 2: Convert to fraction form
   10,037.34/13,851.65 = 5,561.16/x
3. Step 3: Cross multiply
   10,037.34x = 13,851.65 × 5,561.16
4. Step 4: Simplify right side
   10,037.34x = 77,031,241.91
5. Step 5: Solve for x
   x = 77,031,241.91/10,037.34
6. Step 6: Final answer
   x = 7,674.47