Finding the Fourth Proportional to 12,853.34, 17,738.52 and 7,816.62

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853.34 : 17,738.52 = 7,816.62 : x
2. Step 2: Convert to fraction form
   12,853.34/17,738.52 = 7,816.62/x
3. Step 3: Cross multiply
   12,853.34x = 17,738.52 × 7,816.62
4. Step 4: Simplify right side
   12,853.34x = 138,655,270.20
5. Step 5: Solve for x
   x = 138,655,270.20/12,853.34
6. Step 6: Final answer
   x = 10,787.49