Finding the Fourth Proportional to 9,114.10, 13,676.55 and 6,642.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.10 : 13,676.55 = 6,642.70 : x
2. Step 2: Convert to fraction form
   9,114.10/13,676.55 = 6,642.70/x
3. Step 3: Cross multiply
   9,114.10x = 13,676.55 × 6,642.70
4. Step 4: Simplify right side
   9,114.10x = 90,849,218.69
5. Step 5: Solve for x
   x = 90,849,218.69/9,114.10
6. Step 6: Final answer
   x = 9,967.99