Finding the Fourth Proportional to 3,670.91, 5,066.11 and 2,077.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,670.91 : 5,066.11 = 2,077.57 : x
2. Step 2: Convert to fraction form
   3,670.91/5,066.11 = 2,077.57/x
3. Step 3: Cross multiply
   3,670.91x = 5,066.11 × 2,077.57
4. Step 4: Simplify right side
   3,670.91x = 10,525,178.59
5. Step 5: Solve for x
   x = 10,525,178.59/3,670.91
6. Step 6: Final answer
   x = 2,867.18