Finding the Fourth Proportional to 1,081.67, 1,491.14 and 770.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,081.67 : 1,491.14 = 770.63 : x
2. Step 2: Convert to fraction form
   1,081.67/1,491.14 = 770.63/x
3. Step 3: Cross multiply
   1,081.67x = 1,491.14 × 770.63
4. Step 4: Simplify right side
   1,081.67x = 1,149,111.69
5. Step 5: Solve for x
   x = 1,149,111.69/1,081.67
6. Step 6: Final answer
   x = 1,062.35