Finding the Fourth Proportional to 10,096.16, 15,151.23 and 5,886.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.16 : 15,151.23 = 5,886.39 : x
2. Step 2: Convert to fraction form
   10,096.16/15,151.23 = 5,886.39/x
3. Step 3: Cross multiply
   10,096.16x = 15,151.23 × 5,886.39
4. Step 4: Simplify right side
   10,096.16x = 89,186,048.76
5. Step 5: Solve for x
   x = 89,186,048.76/10,096.16
6. Step 6: Final answer
   x = 8,833.66