Finding the Fourth Proportional to 13,189.06, 19,780.50 and 3,826.60

Step by Step Solution

1. Step 1: Write the proportion equation
   13,189.06 : 19,780.50 = 3,826.60 : x
2. Step 2: Convert to fraction form
   13,189.06/19,780.50 = 3,826.60/x
3. Step 3: Cross multiply
   13,189.06x = 19,780.50 × 3,826.60
4. Step 4: Simplify right side
   13,189.06x = 75,692,061.30
5. Step 5: Solve for x
   x = 75,692,061.30/13,189.06
6. Step 6: Final answer
   x = 5,739.00