Finding the Fourth Proportional to 9,111.84, 13,665.12 and 3,916.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,111.84 : 13,665.12 = 3,916.56 : x
2. Step 2: Convert to fraction form
   9,111.84/13,665.12 = 3,916.56/x
3. Step 3: Cross multiply
   9,111.84x = 13,665.12 × 3,916.56
4. Step 4: Simplify right side
   9,111.84x = 53,520,262.39
5. Step 5: Solve for x
   x = 53,520,262.39/9,111.84
6. Step 6: Final answer
   x = 5,873.71