Finding the Fourth Proportional to 13,783.25, 19,022.49 and 7,735.16

Step by Step Solution

1. Step 1: Write the proportion equation
   13,783.25 : 19,022.49 = 7,735.16 : x
2. Step 2: Convert to fraction form
   13,783.25/19,022.49 = 7,735.16/x
3. Step 3: Cross multiply
   13,783.25x = 19,022.49 × 7,735.16
4. Step 4: Simplify right side
   13,783.25x = 147,142,003.75
5. Step 5: Solve for x
   x = 147,142,003.75/13,783.25
6. Step 6: Final answer
   x = 10,675.42