Finding the Fourth Proportional to 2,070.82, 2,857.89 and 1,186.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,070.82 : 2,857.89 = 1,186.66 : x
2. Step 2: Convert to fraction form
   2,070.82/2,857.89 = 1,186.66/x
3. Step 3: Cross multiply
   2,070.82x = 2,857.89 × 1,186.66
4. Step 4: Simplify right side
   2,070.82x = 3,391,343.75
5. Step 5: Solve for x
   x = 3,391,343.75/2,070.82
6. Step 6: Final answer
   x = 1,637.68