Finding the Fourth Proportional to 12,914.64, 17,821.01 and 7,538.27

Step by Step Solution

1. Step 1: Write the proportion equation
   12,914.64 : 17,821.01 = 7,538.27 : x
2. Step 2: Convert to fraction form
   12,914.64/17,821.01 = 7,538.27/x
3. Step 3: Cross multiply
   12,914.64x = 17,821.01 × 7,538.27
4. Step 4: Simplify right side
   12,914.64x = 134,339,514.79
5. Step 5: Solve for x
   x = 134,339,514.79/12,914.64
6. Step 6: Final answer
   x = 10,402.11