Finding the Fourth Proportional to 1,535.41, 2,118.61 and 1,457.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.41 : 2,118.61 = 1,457.57 : x
2. Step 2: Convert to fraction form
   1,535.41/2,118.61 = 1,457.57/x
3. Step 3: Cross multiply
   1,535.41x = 2,118.61 × 1,457.57
4. Step 4: Simplify right side
   1,535.41x = 3,088,022.38
5. Step 5: Solve for x
   x = 3,088,022.38/1,535.41
6. Step 6: Final answer
   x = 2,011.20