Finding the Fourth Proportional to 10,298.34, 14,212.53 and 5,823.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.34 : 14,212.53 = 5,823.03 : x
2. Step 2: Convert to fraction form
   10,298.34/14,212.53 = 5,823.03/x
3. Step 3: Cross multiply
   10,298.34x = 14,212.53 × 5,823.03
4. Step 4: Simplify right side
   10,298.34x = 82,759,988.57
5. Step 5: Solve for x
   x = 82,759,988.57/10,298.34
6. Step 6: Final answer
   x = 8,036.25