Finding the Fourth Proportional to 10,257.84, 14,155.82 and 5,542.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.84 : 14,155.82 = 5,542.12 : x
2. Step 2: Convert to fraction form
   10,257.84/14,155.82 = 5,542.12/x
3. Step 3: Cross multiply
   10,257.84x = 14,155.82 × 5,542.12
4. Step 4: Simplify right side
   10,257.84x = 78,453,253.14
5. Step 5: Solve for x
   x = 78,453,253.14/10,257.84
6. Step 6: Final answer
   x = 7,648.13