Finding the Fourth Proportional to 13,837.91, 20,756.18 and 3,977.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,837.91 : 20,756.18 = 3,977.10 : x
2. Step 2: Convert to fraction form
   13,837.91/20,756.18 = 3,977.10/x
3. Step 3: Cross multiply
   13,837.91x = 20,756.18 × 3,977.10
4. Step 4: Simplify right side
   13,837.91x = 82,549,413.42
5. Step 5: Solve for x
   x = 82,549,413.42/13,837.91
6. Step 6: Final answer
   x = 5,965.46