Finding the Fourth Proportional to 10,300.05, 14,213.14 and 5,824.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.05 : 14,213.14 = 5,824.19 : x
2. Step 2: Convert to fraction form
   10,300.05/14,213.14 = 5,824.19/x
3. Step 3: Cross multiply
   10,300.05x = 14,213.14 × 5,824.19
4. Step 4: Simplify right side
   10,300.05x = 82,780,048.83
5. Step 5: Solve for x
   x = 82,780,048.83/10,300.05
6. Step 6: Final answer
   x = 8,036.86