Finding the Fourth Proportional to 13,084.10, 19,634.22 and 5,185.28

Step by Step Solution

1. Step 1: Write the proportion equation
   13,084.10 : 19,634.22 = 5,185.28 : x
2. Step 2: Convert to fraction form
   13,084.10/19,634.22 = 5,185.28/x
3. Step 3: Cross multiply
   13,084.10x = 19,634.22 × 5,185.28
4. Step 4: Simplify right side
   13,084.10x = 101,808,928.28
5. Step 5: Solve for x
   x = 101,808,928.28/13,084.10
6. Step 6: Final answer
   x = 7,781.12