Finding the Fourth Proportional to 2,642.02, 3,641.76 and 2,081.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.02 : 3,641.76 = 2,081.57 : x
2. Step 2: Convert to fraction form
   2,642.02/3,641.76 = 2,081.57/x
3. Step 3: Cross multiply
   2,642.02x = 3,641.76 × 2,081.57
4. Step 4: Simplify right side
   2,642.02x = 7,580,560.15
5. Step 5: Solve for x
   x = 7,580,560.15/2,642.02
6. Step 6: Final answer
   x = 2,869.23