Finding the Fourth Proportional to 3,897.25, 5,813.01 and 3,780.54

Step by Step Solution

1. Step 1: Write the proportion equation
   3,897.25 : 5,813.01 = 3,780.54 : x
2. Step 2: Convert to fraction form
   3,897.25/5,813.01 = 3,780.54/x
3. Step 3: Cross multiply
   3,897.25x = 5,813.01 × 3,780.54
4. Step 4: Simplify right side
   3,897.25x = 21,976,316.83
5. Step 5: Solve for x
   x = 21,976,316.83/3,897.25
6. Step 6: Final answer
   x = 5,638.93