Finding the Fourth Proportional to 1,082.19, 1,491.83 and 766.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.19 : 1,491.83 = 766.47 : x
2. Step 2: Convert to fraction form
   1,082.19/1,491.83 = 766.47/x
3. Step 3: Cross multiply
   1,082.19x = 1,491.83 × 766.47
4. Step 4: Simplify right side
   1,082.19x = 1,143,447.58
5. Step 5: Solve for x
   x = 1,143,447.58/1,082.19
6. Step 6: Final answer
   x = 1,056.61