Finding the Fourth Proportional to 1,508.64, 2,081.46 and 1,011.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,508.64 : 2,081.46 = 1,011.77 : x
2. Step 2: Convert to fraction form
   1,508.64/2,081.46 = 1,011.77/x
3. Step 3: Cross multiply
   1,508.64x = 2,081.46 × 1,011.77
4. Step 4: Simplify right side
   1,508.64x = 2,105,958.78
5. Step 5: Solve for x
   x = 2,105,958.78/1,508.64
6. Step 6: Final answer
   x = 1,395.93