Finding the Fourth Proportional to 6,178.82, 8,526.38 and 3,527.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178.82 : 8,526.38 = 3,527.10 : x
2. Step 2: Convert to fraction form
   6,178.82/8,526.38 = 3,527.10/x
3. Step 3: Cross multiply
   6,178.82x = 8,526.38 × 3,527.10
4. Step 4: Simplify right side
   6,178.82x = 30,073,377.26
5. Step 5: Solve for x
   x = 30,073,377.26/6,178.82
6. Step 6: Final answer
   x = 4,867.18