Finding the Fourth Proportional to 10,000.50, 13,800.69 and 5,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,000.50 : 13,800.69 = 5,584.50 : x
2. Step 2: Convert to fraction form
   10,000.50/13,800.69 = 5,584.50/x
3. Step 3: Cross multiply
   10,000.50x = 13,800.69 × 5,584.50
4. Step 4: Simplify right side
   10,000.50x = 77,069,953.31
5. Step 5: Solve for x
   x = 77,069,953.31/10,000.50
6. Step 6: Final answer
   x = 7,706.61