Finding the Fourth Proportional to 3,789.40, 5,213.82 and 3,701.92

Step by Step Solution

1. Step 1: Write the proportion equation
   3,789.40 : 5,213.82 = 3,701.92 : x
2. Step 2: Convert to fraction form
   3,789.40/5,213.82 = 3,701.92/x
3. Step 3: Cross multiply
   3,789.40x = 5,213.82 × 3,701.92
4. Step 4: Simplify right side
   3,789.40x = 19,301,144.53
5. Step 5: Solve for x
   x = 19,301,144.53/3,789.40
6. Step 6: Final answer
   x = 5,093.46