Finding the Fourth Proportional to 3,178.02, 4,760.82 and 2,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,178.02 : 4,760.82 = 2,188.50 : x
2. Step 2: Convert to fraction form
   3,178.02/4,760.82 = 2,188.50/x
3. Step 3: Cross multiply
   3,178.02x = 4,760.82 × 2,188.50
4. Step 4: Simplify right side
   3,178.02x = 10,419,054.57
5. Step 5: Solve for x
   x = 10,419,054.57/3,178.02
6. Step 6: Final answer
   x = 3,278.47