Finding the Fourth Proportional to 10,300.48, 14,214.76 and 5,584.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.48 : 14,214.76 = 5,584.74 : x
2. Step 2: Convert to fraction form
   10,300.48/14,214.76 = 5,584.74/x
3. Step 3: Cross multiply
   10,300.48x = 14,214.76 × 5,584.74
4. Step 4: Simplify right side
   10,300.48x = 79,385,738.76
5. Step 5: Solve for x
   x = 79,385,738.76/10,300.48
6. Step 6: Final answer
   x = 7,706.99