Finding the Fourth Proportional to 13,789.56, 19,031.55 and 7,822.71

Step by Step Solution

1. Step 1: Write the proportion equation
   13,789.56 : 19,031.55 = 7,822.71 : x
2. Step 2: Convert to fraction form
   13,789.56/19,031.55 = 7,822.71/x
3. Step 3: Cross multiply
   13,789.56x = 19,031.55 × 7,822.71
4. Step 4: Simplify right side
   13,789.56x = 148,878,296.50
5. Step 5: Solve for x
   x = 148,878,296.50/13,789.56
6. Step 6: Final answer
   x = 10,796.45