Finding the Fourth Proportional to 3,657.96, 5,047.89 and 2,086.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,657.96 : 5,047.89 = 2,086.02 : x
2. Step 2: Convert to fraction form
   3,657.96/5,047.89 = 2,086.02/x
3. Step 3: Cross multiply
   3,657.96x = 5,047.89 × 2,086.02
4. Step 4: Simplify right side
   3,657.96x = 10,529,999.50
5. Step 5: Solve for x
   x = 10,529,999.50/3,657.96
6. Step 6: Final answer
   x = 2,878.65