Finding the Fourth Proportional to 10,300.64, 14,214.84 and 5,584.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.64 : 14,214.84 = 5,584.80 : x
2. Step 2: Convert to fraction form
   10,300.64/14,214.84 = 5,584.80/x
3. Step 3: Cross multiply
   10,300.64x = 14,214.84 × 5,584.80
4. Step 4: Simplify right side
   10,300.64x = 79,387,038.43
5. Step 5: Solve for x
   x = 79,387,038.43/10,300.64
6. Step 6: Final answer
   x = 7,707.00