Finding the Fourth Proportional to 10,300.28, 14,214.36 and 5,824.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.28 : 14,214.36 = 5,824.04 : x
2. Step 2: Convert to fraction form
   10,300.28/14,214.36 = 5,824.04/x
3. Step 3: Cross multiply
   10,300.28x = 14,214.36 × 5,824.04
4. Step 4: Simplify right side
   10,300.28x = 82,785,001.21
5. Step 5: Solve for x
   x = 82,785,001.21/10,300.28
6. Step 6: Final answer
   x = 8,037.16