Finding the Fourth Proportional to 10,300.25, 14,214.26 and 5,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.25 : 14,214.26 = 5,584.50 : x
2. Step 2: Convert to fraction form
   10,300.25/14,214.26 = 5,584.50/x
3. Step 3: Cross multiply
   10,300.25x = 14,214.26 × 5,584.50
4. Step 4: Simplify right side
   10,300.25x = 79,379,507.05
5. Step 5: Solve for x
   x = 79,379,507.05/10,300.25
6. Step 6: Final answer
   x = 7,706.56