Finding the Fourth Proportional to 10,300.64, 14,214.90 and 5,584.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.64 : 14,214.90 = 5,584.94 : x
2. Step 2: Convert to fraction form
   10,300.64/14,214.90 = 5,584.94/x
3. Step 3: Cross multiply
   10,300.64x = 14,214.90 × 5,584.94
4. Step 4: Simplify right side
   10,300.64x = 79,389,363.61
5. Step 5: Solve for x
   x = 79,389,363.61/10,300.64
6. Step 6: Final answer
   x = 7,707.23