Finding the Fourth Proportional to 9,878.68, 13,628.01 and 5,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.68 : 13,628.01 = 5,684.50 : x
2. Step 2: Convert to fraction form
   9,878.68/13,628.01 = 5,684.50/x
3. Step 3: Cross multiply
   9,878.68x = 13,628.01 × 5,684.50
4. Step 4: Simplify right side
   9,878.68x = 77,468,422.85
5. Step 5: Solve for x
   x = 77,468,422.85/9,878.68
6. Step 6: Final answer
   x = 7,841.98