Finding the Fourth Proportional to 10,300.38, 14,214.52 and 5,584.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.38 : 14,214.52 = 5,584.66 : x
2. Step 2: Convert to fraction form
   10,300.38/14,214.52 = 5,584.66/x
3. Step 3: Cross multiply
   10,300.38x = 14,214.52 × 5,584.66
4. Step 4: Simplify right side
   10,300.38x = 79,383,261.26
5. Step 5: Solve for x
   x = 79,383,261.26/10,300.38
6. Step 6: Final answer
   x = 7,706.83