Finding the Fourth Proportional to 1,459.76, 2,014.34 and 796.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.76 : 2,014.34 = 796.57 : x
2. Step 2: Convert to fraction form
   1,459.76/2,014.34 = 796.57/x
3. Step 3: Cross multiply
   1,459.76x = 2,014.34 × 796.57
4. Step 4: Simplify right side
   1,459.76x = 1,604,553.80
5. Step 5: Solve for x
   x = 1,604,553.80/1,459.76
6. Step 6: Final answer
   x = 1,099.19