Finding the Fourth Proportional to 10,299.69, 14,214.18 and 5,823.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,299.69 : 14,214.18 = 5,823.86 : x
2. Step 2: Convert to fraction form
   10,299.69/14,214.18 = 5,823.86/x
3. Step 3: Cross multiply
   10,299.69x = 14,214.18 × 5,823.86
4. Step 4: Simplify right side
   10,299.69x = 82,781,323.26
5. Step 5: Solve for x
   x = 82,781,323.26/10,299.69
6. Step 6: Final answer
   x = 8,037.26