Finding the Fourth Proportional to 13,645.50, 18,830.56 and 7,677.16

Step by Step Solution

1. Step 1: Write the proportion equation
   13,645.50 : 18,830.56 = 7,677.16 : x
2. Step 2: Convert to fraction form
   13,645.50/18,830.56 = 7,677.16/x
3. Step 3: Cross multiply
   13,645.50x = 18,830.56 × 7,677.16
4. Step 4: Simplify right side
   13,645.50x = 144,565,222.01
5. Step 5: Solve for x
   x = 144,565,222.01/13,645.50
6. Step 6: Final answer
   x = 10,594.35