Finding the Fourth Proportional to 14,200.29, 19,596.54 and 7,827.12

Step by Step Solution

1. Step 1: Write the proportion equation
   14,200.29 : 19,596.54 = 7,827.12 : x
2. Step 2: Convert to fraction form
   14,200.29/19,596.54 = 7,827.12/x
3. Step 3: Cross multiply
   14,200.29x = 19,596.54 × 7,827.12
4. Step 4: Simplify right side
   14,200.29x = 153,384,470.16
5. Step 5: Solve for x
   x = 153,384,470.16/14,200.29
6. Step 6: Final answer
   x = 10,801.50