Finding the Fourth Proportional to 1,406.58, 2,104.20 and 1,185.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.58 : 2,104.20 = 1,185.09 : x
2. Step 2: Convert to fraction form
   1,406.58/2,104.20 = 1,185.09/x
3. Step 3: Cross multiply
   1,406.58x = 2,104.20 × 1,185.09
4. Step 4: Simplify right side
   1,406.58x = 2,493,666.38
5. Step 5: Solve for x
   x = 2,493,666.38/1,406.58
6. Step 6: Final answer
   x = 1,772.86