Finding the Fourth Proportional to 3,695.10, 5,186.10 and 3,695.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,695.10 : 5,186.10 = 3,695.10 : x
2. Step 2: Convert to fraction form
   3,695.10/5,186.10 = 3,695.10/x
3. Step 3: Cross multiply
   3,695.10x = 5,186.10 × 3,695.10
4. Step 4: Simplify right side
   3,695.10x = 19,163,158.11
5. Step 5: Solve for x
   x = 19,163,158.11/3,695.10
6. Step 6: Final answer
   x = 5,186.10