Finding the Fourth Proportional to 10,053.63, 13,871.94 and 5,576.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,053.63 : 13,871.94 = 5,576.42 : x
2. Step 2: Convert to fraction form
   10,053.63/13,871.94 = 5,576.42/x
3. Step 3: Cross multiply
   10,053.63x = 13,871.94 × 5,576.42
4. Step 4: Simplify right side
   10,053.63x = 77,355,763.65
5. Step 5: Solve for x
   x = 77,355,763.65/10,053.63
6. Step 6: Final answer
   x = 7,694.31