Finding the Fourth Proportional to 10,300.34, 14,214.44 and 5,584.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.34 : 14,214.44 = 5,584.62 : x
2. Step 2: Convert to fraction form
   10,300.34/14,214.44 = 5,584.62/x
3. Step 3: Cross multiply
   10,300.34x = 14,214.44 × 5,584.62
4. Step 4: Simplify right side
   10,300.34x = 79,382,245.91
5. Step 5: Solve for x
   x = 79,382,245.91/10,300.34
6. Step 6: Final answer
   x = 7,706.76