Finding the Fourth Proportional to 10,654.82, 14,700.48 and 6,178.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,654.82 : 14,700.48 = 6,178.34 : x
2. Step 2: Convert to fraction form
   10,654.82/14,700.48 = 6,178.34/x
3. Step 3: Cross multiply
   10,654.82x = 14,700.48 × 6,178.34
4. Step 4: Simplify right side
   10,654.82x = 90,824,563.60
5. Step 5: Solve for x
   x = 90,824,563.60/10,654.82
6. Step 6: Final answer
   x = 8,524.27