Finding the Fourth Proportional to 10,038.20, 13,852.81 and 5,562.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.20 : 13,852.81 = 5,562.05 : x
2. Step 2: Convert to fraction form
   10,038.20/13,852.81 = 5,562.05/x
3. Step 3: Cross multiply
   10,038.20x = 13,852.81 × 5,562.05
4. Step 4: Simplify right side
   10,038.20x = 77,049,959.55
5. Step 5: Solve for x
   x = 77,049,959.55/10,038.20
6. Step 6: Final answer
   x = 7,675.68