Finding the Fourth Proportional to 7,257.06, 10,009.98 and 5,682.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,257.06 : 10,009.98 = 5,682.42 : x
2. Step 2: Convert to fraction form
   7,257.06/10,009.98 = 5,682.42/x
3. Step 3: Cross multiply
   7,257.06x = 10,009.98 × 5,682.42
4. Step 4: Simplify right side
   7,257.06x = 56,880,910.55
5. Step 5: Solve for x
   x = 56,880,910.55/7,257.06
6. Step 6: Final answer
   x = 7,838.01