Finding the Fourth Proportional to 13,826.30, 19,074.89 and 7,775.16

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826.30 : 19,074.89 = 7,775.16 : x
2. Step 2: Convert to fraction form
   13,826.30/19,074.89 = 7,775.16/x
3. Step 3: Cross multiply
   13,826.30x = 19,074.89 × 7,775.16
4. Step 4: Simplify right side
   13,826.30x = 148,310,269.64
5. Step 5: Solve for x
   x = 148,310,269.64/13,826.30
6. Step 6: Final answer
   x = 10,726.68