Finding the Fourth Proportional to 13,646.15, 18,830.35 and 7,677.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,646.15 : 18,830.35 = 7,677.69 : x
2. Step 2: Convert to fraction form
   13,646.15/18,830.35 = 7,677.69/x
3. Step 3: Cross multiply
   13,646.15x = 18,830.35 × 7,677.69
4. Step 4: Simplify right side
   13,646.15x = 144,573,589.89
5. Step 5: Solve for x
   x = 144,573,589.89/13,646.15
6. Step 6: Final answer
   x = 10,594.46