Finding the Fourth Proportional to 1,460.07, 2,189.16 and 766.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.07 : 2,189.16 = 766.89 : x
2. Step 2: Convert to fraction form
   1,460.07/2,189.16 = 766.89/x
3. Step 3: Cross multiply
   1,460.07x = 2,189.16 × 766.89
4. Step 4: Simplify right side
   1,460.07x = 1,678,844.91
5. Step 5: Solve for x
   x = 1,678,844.91/1,460.07
6. Step 6: Final answer
   x = 1,149.84