Finding the Fourth Proportional to 10,299.08, 14,213.50 and 5,762.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,299.08 : 14,213.50 = 5,762.14 : x
2. Step 2: Convert to fraction form
   10,299.08/14,213.50 = 5,762.14/x
3. Step 3: Cross multiply
   10,299.08x = 14,213.50 × 5,762.14
4. Step 4: Simplify right side
   10,299.08x = 81,900,176.89
5. Step 5: Solve for x
   x = 81,900,176.89/10,299.08
6. Step 6: Final answer
   x = 7,952.18