Finding the Fourth Proportional to 3,693.67, 5,097.57 and 2,100.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,693.67 : 5,097.57 = 2,100.82 : x
2. Step 2: Convert to fraction form
   3,693.67/5,097.57 = 2,100.82/x
3. Step 3: Cross multiply
   3,693.67x = 5,097.57 × 2,100.82
4. Step 4: Simplify right side
   3,693.67x = 10,709,077.01
5. Step 5: Solve for x
   x = 10,709,077.01/3,693.67
6. Step 6: Final answer
   x = 2,899.31