Finding the Fourth Proportional to 13,646.52, 18,830.82 and 7,678.05

Step by Step Solution

1. Step 1: Write the proportion equation
   13,646.52 : 18,830.82 = 7,678.05 : x
2. Step 2: Convert to fraction form
   13,646.52/18,830.82 = 7,678.05/x
3. Step 3: Cross multiply
   13,646.52x = 18,830.82 × 7,678.05
4. Step 4: Simplify right side
   13,646.52x = 144,583,977.50
5. Step 5: Solve for x
   x = 144,583,977.50/13,646.52
6. Step 6: Final answer
   x = 10,594.93