Finding the Fourth Proportional to 11,996.52, 17,957.86 and 7,827.55

Step by Step Solution

1. Step 1: Write the proportion equation
   11,996.52 : 17,957.86 = 7,827.55 : x
2. Step 2: Convert to fraction form
   11,996.52/17,957.86 = 7,827.55/x
3. Step 3: Cross multiply
   11,996.52x = 17,957.86 × 7,827.55
4. Step 4: Simplify right side
   11,996.52x = 140,565,957.25
5. Step 5: Solve for x
   x = 140,565,957.25/11,996.52
6. Step 6: Final answer
   x = 11,717.23