Finding the Fourth Proportional to 1,459.78, 2,014.50 and 838.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.78 : 2,014.50 = 838.78 : x
2. Step 2: Convert to fraction form
   1,459.78/2,014.50 = 838.78/x
3. Step 3: Cross multiply
   1,459.78x = 2,014.50 × 838.78
4. Step 4: Simplify right side
   1,459.78x = 1,689,722.31
5. Step 5: Solve for x
   x = 1,689,722.31/1,459.78
6. Step 6: Final answer
   x = 1,157.52