Finding the Fourth Proportional to 3,699.65, 5,105.37 and 2,106.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,699.65 : 5,105.37 = 2,106.52 : x
2. Step 2: Convert to fraction form
   3,699.65/5,105.37 = 2,106.52/x
3. Step 3: Cross multiply
   3,699.65x = 5,105.37 × 2,106.52
4. Step 4: Simplify right side
   3,699.65x = 10,754,538.49
5. Step 5: Solve for x
   x = 10,754,538.49/3,699.65
6. Step 6: Final answer
   x = 2,906.91