Finding the Fourth Proportional to 1,535.76, 2,311.83 and 1,377

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.76 : 2,311.83 = 1,377 : x
2. Step 2: Convert to fraction form
   1,535.76/2,311.83 = 1,377/x
3. Step 3: Cross multiply
   1,535.76x = 2,311.83 × 1,377
4. Step 4: Simplify right side
   1,535.76x = 3,183,389.91
5. Step 5: Solve for x
   x = 3,183,389.91/1,535.76
6. Step 6: Final answer
   x = 2,072.84