Finding the Fourth Proportional to 1,457.66, 2,009.69 and 1,191.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.66 : 2,009.69 = 1,191.83 : x
2. Step 2: Convert to fraction form
   1,457.66/2,009.69 = 1,191.83/x
3. Step 3: Cross multiply
   1,457.66x = 2,009.69 × 1,191.83
4. Step 4: Simplify right side
   1,457.66x = 2,395,198.78
5. Step 5: Solve for x
   x = 2,395,198.78/1,457.66
6. Step 6: Final answer
   x = 1,643.18