Finding the Fourth Proportional to 10,300.02, 14,216.14 and 5,823.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.02 : 14,216.14 = 5,823.96 : x
2. Step 2: Convert to fraction form
   10,300.02/14,216.14 = 5,823.96/x
3. Step 3: Cross multiply
   10,300.02x = 14,216.14 × 5,823.96
4. Step 4: Simplify right side
   10,300.02x = 82,794,230.71
5. Step 5: Solve for x
   x = 82,794,230.71/10,300.02
6. Step 6: Final answer
   x = 8,038.26