Finding the Fourth Proportional to 2,165.93, 2,986.71 and 1,457.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.93 : 2,986.71 = 1,457.78 : x
2. Step 2: Convert to fraction form
   2,165.93/2,986.71 = 1,457.78/x
3. Step 3: Cross multiply
   2,165.93x = 2,986.71 × 1,457.78
4. Step 4: Simplify right side
   2,165.93x = 4,353,951.17
5. Step 5: Solve for x
   x = 4,353,951.17/2,165.93
6. Step 6: Final answer
   x = 2,010.20