Finding the Fourth Proportional to 10,299.88, 14,213.86 and 5,584.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,299.88 : 14,213.86 = 5,584.17 : x
2. Step 2: Convert to fraction form
   10,299.88/14,213.86 = 5,584.17/x
3. Step 3: Cross multiply
   10,299.88x = 14,213.86 × 5,584.17
4. Step 4: Simplify right side
   10,299.88x = 79,372,610.60
5. Step 5: Solve for x
   x = 79,372,610.60/10,299.88
6. Step 6: Final answer
   x = 7,706.17