Finding the Fourth Proportional to 10,038.34, 13,852.71 and 5,562.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.34 : 13,852.71 = 5,562.08 : x
2. Step 2: Convert to fraction form
   10,038.34/13,852.71 = 5,562.08/x
3. Step 3: Cross multiply
   10,038.34x = 13,852.71 × 5,562.08
4. Step 4: Simplify right side
   10,038.34x = 77,049,867.33
5. Step 5: Solve for x
   x = 77,049,867.33/10,038.34
6. Step 6: Final answer
   x = 7,675.56