Finding the Fourth Proportional to 13,187.10, 19,783.54 and 3,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,187.10 : 19,783.54 = 3,827.25 : x
2. Step 2: Convert to fraction form
   13,187.10/19,783.54 = 3,827.25/x
3. Step 3: Cross multiply
   13,187.10x = 19,783.54 × 3,827.25
4. Step 4: Simplify right side
   13,187.10x = 75,716,558.25
5. Step 5: Solve for x
   x = 75,716,558.25/13,187.10
6. Step 6: Final answer
   x = 5,741.71