Finding the Fourth Proportional to 10,300.34, 14,213.59 and 5,823.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.34 : 14,213.59 = 5,823.47 : x
2. Step 2: Convert to fraction form
   10,300.34/14,213.59 = 5,823.47/x
3. Step 3: Cross multiply
   10,300.34x = 14,213.59 × 5,823.47
4. Step 4: Simplify right side
   10,300.34x = 82,772,329.33
5. Step 5: Solve for x
   x = 82,772,329.33/10,300.34
6. Step 6: Final answer
   x = 8,035.89