Finding the Fourth Proportional to 13,647.01, 18,833.25 and 7,678.89

Step by Step Solution

1. Step 1: Write the proportion equation
   13,647.01 : 18,833.25 = 7,678.89 : x
2. Step 2: Convert to fraction form
   13,647.01/18,833.25 = 7,678.89/x
3. Step 3: Cross multiply
   13,647.01x = 18,833.25 × 7,678.89
4. Step 4: Simplify right side
   13,647.01x = 144,618,463.78
5. Step 5: Solve for x
   x = 144,618,463.78/13,647.01
6. Step 6: Final answer
   x = 10,597.08