Finding the Fourth Proportional to 12,897.31, 19,321.06 and 9,514.15

Step by Step Solution

1. Step 1: Write the proportion equation
   12,897.31 : 19,321.06 = 9,514.15 : x
2. Step 2: Convert to fraction form
   12,897.31/19,321.06 = 9,514.15/x
3. Step 3: Cross multiply
   12,897.31x = 19,321.06 × 9,514.15
4. Step 4: Simplify right side
   12,897.31x = 183,823,342.61
5. Step 5: Solve for x
   x = 183,823,342.61/12,897.31
6. Step 6: Final answer
   x = 14,252.84