Finding the Fourth Proportional to 13,781.74, 19,012.71 and 8,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,781.74 : 19,012.71 = 8,189.50 : x
2. Step 2: Convert to fraction form
   13,781.74/19,012.71 = 8,189.50/x
3. Step 3: Cross multiply
   13,781.74x = 19,012.71 × 8,189.50
4. Step 4: Simplify right side
   13,781.74x = 155,704,588.55
5. Step 5: Solve for x
   x = 155,704,588.55/13,781.74
6. Step 6: Final answer
   x = 11,297.89