Finding the Fourth Proportional to 6,101, 8,416.56 and 3,582.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,101 : 8,416.56 = 3,582.30 : x
2. Step 2: Convert to fraction form
   6,101/8,416.56 = 3,582.30/x
3. Step 3: Cross multiply
   6,101x = 8,416.56 × 3,582.30
4. Step 4: Simplify right side
   6,101x = 30,150,642.89
5. Step 5: Solve for x
   x = 30,150,642.89/6,101
6. Step 6: Final answer
   x = 4,941.92