Finding the Fourth Proportional to 3,106.89, 4,663.98 and 2,178.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,106.89 : 4,663.98 = 2,178.63 : x
2. Step 2: Convert to fraction form
   3,106.89/4,663.98 = 2,178.63/x
3. Step 3: Cross multiply
   3,106.89x = 4,663.98 × 2,178.63
4. Step 4: Simplify right side
   3,106.89x = 10,161,086.75
5. Step 5: Solve for x
   x = 10,161,086.75/3,106.89
6. Step 6: Final answer
   x = 3,270.50