Finding the Fourth Proportional to 13,190.29, 19,784.83 and 3,830.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,190.29 : 19,784.83 = 3,830.10 : x
2. Step 2: Convert to fraction form
   13,190.29/19,784.83 = 3,830.10/x
3. Step 3: Cross multiply
   13,190.29x = 19,784.83 × 3,830.10
4. Step 4: Simplify right side
   13,190.29x = 75,777,867.81
5. Step 5: Solve for x
   x = 75,777,867.81/13,190.29
6. Step 6: Final answer
   x = 5,744.97