Finding the Fourth Proportional to 10,038.66, 13,852.80 and 5,562.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.66 : 13,852.80 = 5,562.34 : x
2. Step 2: Convert to fraction form
   10,038.66/13,852.80 = 5,562.34/x
3. Step 3: Cross multiply
   10,038.66x = 13,852.80 × 5,562.34
4. Step 4: Simplify right side
   10,038.66x = 77,053,983.55
5. Step 5: Solve for x
   x = 77,053,983.55/10,038.66
6. Step 6: Final answer
   x = 7,675.72