Finding the Fourth Proportional to 3,875.61, 5,812.14 and 2,096.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,875.61 : 5,812.14 = 2,096.34 : x
2. Step 2: Convert to fraction form
   3,875.61/5,812.14 = 2,096.34/x
3. Step 3: Cross multiply
   3,875.61x = 5,812.14 × 2,096.34
4. Step 4: Simplify right side
   3,875.61x = 12,184,221.57
5. Step 5: Solve for x
   x = 12,184,221.57/3,875.61
6. Step 6: Final answer
   x = 3,143.82