Finding the Fourth Proportional to 3,724, 5,577.06 and 3,111.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,724 : 5,577.06 = 3,111.64 : x
2. Step 2: Convert to fraction form
   3,724/5,577.06 = 3,111.64/x
3. Step 3: Cross multiply
   3,724x = 5,577.06 × 3,111.64
4. Step 4: Simplify right side
   3,724x = 17,353,802.98
5. Step 5: Solve for x
   x = 17,353,802.98/3,724
6. Step 6: Final answer
   x = 4,659.99