Finding the Fourth Proportional to 2,071.61, 2,858.74 and 1,186.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.61 : 2,858.74 = 1,186.80 : x
2. Step 2: Convert to fraction form
   2,071.61/2,858.74 = 1,186.80/x
3. Step 3: Cross multiply
   2,071.61x = 2,858.74 × 1,186.80
4. Step 4: Simplify right side
   2,071.61x = 3,392,752.63
5. Step 5: Solve for x
   x = 3,392,752.63/2,071.61
6. Step 6: Final answer
   x = 1,637.74