Finding the Fourth Proportional to 3,864.92, 5,300.80 and 3,706.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,864.92 : 5,300.80 = 3,706.16 : x
2. Step 2: Convert to fraction form
   3,864.92/5,300.80 = 3,706.16/x
3. Step 3: Cross multiply
   3,864.92x = 5,300.80 × 3,706.16
4. Step 4: Simplify right side
   3,864.92x = 19,645,612.93
5. Step 5: Solve for x
   x = 19,645,612.93/3,864.92
6. Step 6: Final answer
   x = 5,083.06