Finding the Fourth Proportional to 12,301.20, 16,970.55 and 7,827.42

Step by Step Solution

1. Step 1: Write the proportion equation
   12,301.20 : 16,970.55 = 7,827.42 : x
2. Step 2: Convert to fraction form
   12,301.20/16,970.55 = 7,827.42/x
3. Step 3: Cross multiply
   12,301.20x = 16,970.55 × 7,827.42
4. Step 4: Simplify right side
   12,301.20x = 132,835,622.48
5. Step 5: Solve for x
   x = 132,835,622.48/12,301.20
6. Step 6: Final answer
   x = 10,798.59