Finding the Fourth Proportional to 7,162.81, 10,748.47 and 3,875.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,162.81 : 10,748.47 = 3,875.83 : x
2. Step 2: Convert to fraction form
   7,162.81/10,748.47 = 3,875.83/x
3. Step 3: Cross multiply
   7,162.81x = 10,748.47 × 3,875.83
4. Step 4: Simplify right side
   7,162.81x = 41,659,242.48
5. Step 5: Solve for x
   x = 41,659,242.48/7,162.81
6. Step 6: Final answer
   x = 5,816.05