Finding the Fourth Proportional to 13,823.70, 19,084.59 and 9,116.19

Step by Step Solution

1. Step 1: Write the proportion equation
   13,823.70 : 19,084.59 = 9,116.19 : x
2. Step 2: Convert to fraction form
   13,823.70/19,084.59 = 9,116.19/x
3. Step 3: Cross multiply
   13,823.70x = 19,084.59 × 9,116.19
4. Step 4: Simplify right side
   13,823.70x = 173,978,748.51
5. Step 5: Solve for x
   x = 173,978,748.51/13,823.70
6. Step 6: Final answer
   x = 12,585.54