Finding the Fourth Proportional to 10,499.58, 15,737.99 and 5,238.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.58 : 15,737.99 = 5,238.54 : x
2. Step 2: Convert to fraction form
   10,499.58/15,737.99 = 5,238.54/x
3. Step 3: Cross multiply
   10,499.58x = 15,737.99 × 5,238.54
4. Step 4: Simplify right side
   10,499.58x = 82,444,063.94
5. Step 5: Solve for x
   x = 82,444,063.94/10,499.58
6. Step 6: Final answer
   x = 7,852.13