Finding the Fourth Proportional to 6,665.88, 10,009.10 and 5,639.37

Step by Step Solution

1. Step 1: Write the proportion equation
   6,665.88 : 10,009.10 = 5,639.37 : x
2. Step 2: Convert to fraction form
   6,665.88/10,009.10 = 5,639.37/x
3. Step 3: Cross multiply
   6,665.88x = 10,009.10 × 5,639.37
4. Step 4: Simplify right side
   6,665.88x = 56,444,990.07
5. Step 5: Solve for x
   x = 56,444,990.07/6,665.88
6. Step 6: Final answer
   x = 8,467.75