Finding the Fourth Proportional to 5,665.78, 8,460.48 and 4,627.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.78 : 8,460.48 = 4,627.82 : x
2. Step 2: Convert to fraction form
   5,665.78/8,460.48 = 4,627.82/x
3. Step 3: Cross multiply
   5,665.78x = 8,460.48 × 4,627.82
4. Step 4: Simplify right side
   5,665.78x = 39,153,578.55
5. Step 5: Solve for x
   x = 39,153,578.55/5,665.78
6. Step 6: Final answer
   x = 6,910.54