Finding the Fourth Proportional to 9,137.80, 13,709.48 and 3,870.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,137.80 : 13,709.48 = 3,870.06 : x
2. Step 2: Convert to fraction form
   9,137.80/13,709.48 = 3,870.06/x
3. Step 3: Cross multiply
   9,137.80x = 13,709.48 × 3,870.06
4. Step 4: Simplify right side
   9,137.80x = 53,056,490.82
5. Step 5: Solve for x
   x = 53,056,490.82/9,137.80
6. Step 6: Final answer
   x = 5,806.27