Finding the Fourth Proportional to 10,300.71, 14,211.63 and 5,824.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.71 : 14,211.63 = 5,824.02 : x
2. Step 2: Convert to fraction form
   10,300.71/14,211.63 = 5,824.02/x
3. Step 3: Cross multiply
   10,300.71x = 14,211.63 × 5,824.02
4. Step 4: Simplify right side
   10,300.71x = 82,768,817.35
5. Step 5: Solve for x
   x = 82,768,817.35/10,300.71
6. Step 6: Final answer
   x = 8,035.25