Finding the Fourth Proportional to 1,459.31, 2,189.86 and 766.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.31 : 2,189.86 = 766.47 : x
2. Step 2: Convert to fraction form
   1,459.31/2,189.86 = 766.47/x
3. Step 3: Cross multiply
   1,459.31x = 2,189.86 × 766.47
4. Step 4: Simplify right side
   1,459.31x = 1,678,467.47
5. Step 5: Solve for x
   x = 1,678,467.47/1,459.31
6. Step 6: Final answer
   x = 1,150.18