Finding the Fourth Proportional to 1,459.51, 2,185.69 and 766.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.51 : 2,185.69 = 766.76 : x
2. Step 2: Convert to fraction form
   1,459.51/2,185.69 = 766.76/x
3. Step 3: Cross multiply
   1,459.51x = 2,185.69 × 766.76
4. Step 4: Simplify right side
   1,459.51x = 1,675,899.66
5. Step 5: Solve for x
   x = 1,675,899.66/1,459.51
6. Step 6: Final answer
   x = 1,148.26