Finding the Fourth Proportional to 10,038.42, 13,852.48 and 5,562.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.42 : 13,852.48 = 5,562.06 : x
2. Step 2: Convert to fraction form
   10,038.42/13,852.48 = 5,562.06/x
3. Step 3: Cross multiply
   10,038.42x = 13,852.48 × 5,562.06
4. Step 4: Simplify right side
   10,038.42x = 77,048,324.91
5. Step 5: Solve for x
   x = 77,048,324.91/10,038.42
6. Step 6: Final answer
   x = 7,675.34