Finding the Fourth Proportional to 10,300.06, 14,213.95 and 5,584.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.06 : 14,213.95 = 5,584.33 : x
2. Step 2: Convert to fraction form
   10,300.06/14,213.95 = 5,584.33/x
3. Step 3: Cross multiply
   10,300.06x = 14,213.95 × 5,584.33
4. Step 4: Simplify right side
   10,300.06x = 79,375,387.40
5. Step 5: Solve for x
   x = 79,375,387.40/10,300.06
6. Step 6: Final answer
   x = 7,706.30