Finding the Fourth Proportional to 10,300.20, 14,214.30 and 5,584.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.20 : 14,214.30 = 5,584.46 : x
2. Step 2: Convert to fraction form
   10,300.20/14,214.30 = 5,584.46/x
3. Step 3: Cross multiply
   10,300.20x = 14,214.30 × 5,584.46
4. Step 4: Simplify right side
   10,300.20x = 79,379,189.78
5. Step 5: Solve for x
   x = 79,379,189.78/10,300.20
6. Step 6: Final answer
   x = 7,706.57