Finding the Fourth Proportional to 9,117.96, 13,667.82 and 7,863.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,117.96 : 13,667.82 = 7,863.47 : x
2. Step 2: Convert to fraction form
   9,117.96/13,667.82 = 7,863.47/x
3. Step 3: Cross multiply
   9,117.96x = 13,667.82 × 7,863.47
4. Step 4: Simplify right side
   9,117.96x = 107,476,492.54
5. Step 5: Solve for x
   x = 107,476,492.54/9,117.96
6. Step 6: Final answer
   x = 11,787.34