Finding the Fourth Proportional to 10,300.37, 14,214.47 and 5,584.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.37 : 14,214.47 = 5,584.64 : x
2. Step 2: Convert to fraction form
   10,300.37/14,214.47 = 5,584.64/x
3. Step 3: Cross multiply
   10,300.37x = 14,214.47 × 5,584.64
4. Step 4: Simplify right side
   10,300.37x = 79,382,598.75
5. Step 5: Solve for x
   x = 79,382,598.75/10,300.37
6. Step 6: Final answer
   x = 7,706.78