Finding the Fourth Proportional to 13,020.54, 17,968.68 and 7,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,020.54 : 17,968.68 = 7,714.50 : x
2. Step 2: Convert to fraction form
   13,020.54/17,968.68 = 7,714.50/x
3. Step 3: Cross multiply
   13,020.54x = 17,968.68 × 7,714.50
4. Step 4: Simplify right side
   13,020.54x = 138,619,381.86
5. Step 5: Solve for x
   x = 138,619,381.86/13,020.54
6. Step 6: Final answer
   x = 10,646.21