Finding the Fourth Proportional to 10,300.56, 14,214.65 and 5,584.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.56 : 14,214.65 = 5,584.83 : x
2. Step 2: Convert to fraction form
   10,300.56/14,214.65 = 5,584.83/x
3. Step 3: Cross multiply
   10,300.56x = 14,214.65 × 5,584.83
4. Step 4: Simplify right side
   10,300.56x = 79,386,375.84
5. Step 5: Solve for x
   x = 79,386,375.84/10,300.56
6. Step 6: Final answer
   x = 7,707.00