Finding the Fourth Proportional to 1,505.71, 2,077.57 and 1,086.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.71 : 2,077.57 = 1,086.69 : x
2. Step 2: Convert to fraction form
   1,505.71/2,077.57 = 1,086.69/x
3. Step 3: Cross multiply
   1,505.71x = 2,077.57 × 1,086.69
4. Step 4: Simplify right side
   1,505.71x = 2,257,674.54
5. Step 5: Solve for x
   x = 2,257,674.54/1,505.71
6. Step 6: Final answer
   x = 1,499.41