Finding the Fourth Proportional to 8,335.98, 11,494.17 and 7,827.57

Step by Step Solution

1. Step 1: Write the proportion equation
   8,335.98 : 11,494.17 = 7,827.57 : x
2. Step 2: Convert to fraction form
   8,335.98/11,494.17 = 7,827.57/x
3. Step 3: Cross multiply
   8,335.98x = 11,494.17 × 7,827.57
4. Step 4: Simplify right side
   8,335.98x = 89,971,420.27
5. Step 5: Solve for x
   x = 89,971,420.27/8,335.98
6. Step 6: Final answer
   x = 10,793.14