Finding the Fourth Proportional to 13,189.95, 19,781.82 and 3,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,189.95 : 19,781.82 = 3,827.50 : x
2. Step 2: Convert to fraction form
   13,189.95/19,781.82 = 3,827.50/x
3. Step 3: Cross multiply
   13,189.95x = 19,781.82 × 3,827.50
4. Step 4: Simplify right side
   13,189.95x = 75,714,866.60
5. Step 5: Solve for x
   x = 75,714,866.60/13,189.95
6. Step 6: Final answer
   x = 5,740.35