Finding the Fourth Proportional to 13,191.32, 19,782.18 and 3,828.80

Step by Step Solution

1. Step 1: Write the proportion equation
   13,191.32 : 19,782.18 = 3,828.80 : x
2. Step 2: Convert to fraction form
   13,191.32/19,782.18 = 3,828.80/x
3. Step 3: Cross multiply
   13,191.32x = 19,782.18 × 3,828.80
4. Step 4: Simplify right side
   13,191.32x = 75,741,911.87
5. Step 5: Solve for x
   x = 75,741,911.87/13,191.32
6. Step 6: Final answer
   x = 5,741.80