Finding the Fourth Proportional to 1,456.86, 2,185.97 and 1,186.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.86 : 2,185.97 = 1,186.05 : x
2. Step 2: Convert to fraction form
   1,456.86/2,185.97 = 1,186.05/x
3. Step 3: Cross multiply
   1,456.86x = 2,185.97 × 1,186.05
4. Step 4: Simplify right side
   1,456.86x = 2,592,663.79
5. Step 5: Solve for x
   x = 2,592,663.79/1,456.86
6. Step 6: Final answer
   x = 1,779.62