Finding the Fourth Proportional to 13,781.25, 19,019.73 and 7,733.16

Step by Step Solution

1. Step 1: Write the proportion equation
   13,781.25 : 19,019.73 = 7,733.16 : x
2. Step 2: Convert to fraction form
   13,781.25/19,019.73 = 7,733.16/x
3. Step 3: Cross multiply
   13,781.25x = 19,019.73 × 7,733.16
4. Step 4: Simplify right side
   13,781.25x = 147,082,615.25
5. Step 5: Solve for x
   x = 147,082,615.25/13,781.25
6. Step 6: Final answer
   x = 10,672.66