Finding the Fourth Proportional to 13,419.56, 18,514.41 and 7,830.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,419.56 : 18,514.41 = 7,830.56 : x
2. Step 2: Convert to fraction form
   13,419.56/18,514.41 = 7,830.56/x
3. Step 3: Cross multiply
   13,419.56x = 18,514.41 × 7,830.56
4. Step 4: Simplify right side
   13,419.56x = 144,978,105.80
5. Step 5: Solve for x
   x = 144,978,105.80/13,419.56
6. Step 6: Final answer
   x = 10,803.50