Finding the Fourth Proportional to 9,111.94, 13,667.16 and 3,844.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,111.94 : 13,667.16 = 3,844.62 : x
2. Step 2: Convert to fraction form
   9,111.94/13,667.16 = 3,844.62/x
3. Step 3: Cross multiply
   9,111.94x = 13,667.16 × 3,844.62
4. Step 4: Simplify right side
   9,111.94x = 52,545,036.68
5. Step 5: Solve for x
   x = 52,545,036.68/9,111.94
6. Step 6: Final answer
   x = 5,766.61