Finding the Fourth Proportional to 7,057.13, 9,738.72 and 3,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,057.13 : 9,738.72 = 3,870.50 : x
2. Step 2: Convert to fraction form
   7,057.13/9,738.72 = 3,870.50/x
3. Step 3: Cross multiply
   7,057.13x = 9,738.72 × 3,870.50
4. Step 4: Simplify right side
   7,057.13x = 37,693,667.07
5. Step 5: Solve for x
   x = 37,693,667.07/7,057.13
6. Step 6: Final answer
   x = 5,341.22