Finding the Fourth Proportional to 9,100.80, 13,654.49 and 3,178.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100.80 : 13,654.49 = 3,178.56 : x
2. Step 2: Convert to fraction form
   9,100.80/13,654.49 = 3,178.56/x
3. Step 3: Cross multiply
   9,100.80x = 13,654.49 × 3,178.56
4. Step 4: Simplify right side
   9,100.80x = 43,401,649.87
5. Step 5: Solve for x
   x = 43,401,649.87/9,100.80
6. Step 6: Final answer
   x = 4,768.99