Finding the Fourth Proportional to 10,096.76, 15,149.50 and 3,858.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.76 : 15,149.50 = 3,858.66 : x
2. Step 2: Convert to fraction form
   10,096.76/15,149.50 = 3,858.66/x
3. Step 3: Cross multiply
   10,096.76x = 15,149.50 × 3,858.66
4. Step 4: Simplify right side
   10,096.76x = 58,456,769.67
5. Step 5: Solve for x
   x = 58,456,769.67/10,096.76
6. Step 6: Final answer
   x = 5,789.66