Finding the Fourth Proportional to 2,071.64, 2,858.78 and 1,186.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.64 : 2,858.78 = 1,186.83 : x
2. Step 2: Convert to fraction form
   2,071.64/2,858.78 = 1,186.83/x
3. Step 3: Cross multiply
   2,071.64x = 2,858.78 × 1,186.83
4. Step 4: Simplify right side
   2,071.64x = 3,392,888.83
5. Step 5: Solve for x
   x = 3,392,888.83/2,071.64
6. Step 6: Final answer
   x = 1,637.78