Finding the Fourth Proportional to 10,300, 14,213.96 and 5,584.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300 : 14,213.96 = 5,584.28 : x
2. Step 2: Convert to fraction form
   10,300/14,213.96 = 5,584.28/x
3. Step 3: Cross multiply
   10,300x = 14,213.96 × 5,584.28
4. Step 4: Simplify right side
   10,300x = 79,374,732.55
5. Step 5: Solve for x
   x = 79,374,732.55/10,300
6. Step 6: Final answer
   x = 7,706.28