Finding the Fourth Proportional to 10,300.89, 14,215.95 and 5,824.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.89 : 14,215.95 = 5,824.68 : x
2. Step 2: Convert to fraction form
   10,300.89/14,215.95 = 5,824.68/x
3. Step 3: Cross multiply
   10,300.89x = 14,215.95 × 5,824.68
4. Step 4: Simplify right side
   10,300.89x = 82,803,359.65
5. Step 5: Solve for x
   x = 82,803,359.65/10,300.89
6. Step 6: Final answer
   x = 8,038.47