Finding the Fourth Proportional to 1,459.69, 2,014.37 and 838.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.69 : 2,014.37 = 838.69 : x
2. Step 2: Convert to fraction form
   1,459.69/2,014.37 = 838.69/x
3. Step 3: Cross multiply
   1,459.69x = 2,014.37 × 838.69
4. Step 4: Simplify right side
   1,459.69x = 1,689,425.89
5. Step 5: Solve for x
   x = 1,689,425.89/1,459.69
6. Step 6: Final answer
   x = 1,157.39