Finding the Fourth Proportional to 13,514.48, 20,264.01 and 5,189.30

Step by Step Solution

1. Step 1: Write the proportion equation
   13,514.48 : 20,264.01 = 5,189.30 : x
2. Step 2: Convert to fraction form
   13,514.48/20,264.01 = 5,189.30/x
3. Step 3: Cross multiply
   13,514.48x = 20,264.01 × 5,189.30
4. Step 4: Simplify right side
   13,514.48x = 105,156,027.09
5. Step 5: Solve for x
   x = 105,156,027.09/13,514.48
6. Step 6: Final answer
   x = 7,780.99