Finding the Fourth Proportional to 5,243.43, 7,856.10 and 3,680.46

Step by Step Solution

1. Step 1: Write the proportion equation
   5,243.43 : 7,856.10 = 3,680.46 : x
2. Step 2: Convert to fraction form
   5,243.43/7,856.10 = 3,680.46/x
3. Step 3: Cross multiply
   5,243.43x = 7,856.10 × 3,680.46
4. Step 4: Simplify right side
   5,243.43x = 28,914,061.81
5. Step 5: Solve for x
   x = 28,914,061.81/5,243.43
6. Step 6: Final answer
   x = 5,514.34