Finding the Fourth Proportional to 10,038.78, 13,852.89 and 5,562.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.78 : 13,852.89 = 5,562.27 : x
2. Step 2: Convert to fraction form
   10,038.78/13,852.89 = 5,562.27/x
3. Step 3: Cross multiply
   10,038.78x = 13,852.89 × 5,562.27
4. Step 4: Simplify right side
   10,038.78x = 77,053,514.46
5. Step 5: Solve for x
   x = 77,053,514.46/10,038.78
6. Step 6: Final answer
   x = 7,675.59