Finding the Fourth Proportional to 1,460.16, 2,014.94 and 830.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.16 : 2,014.94 = 830.83 : x
2. Step 2: Convert to fraction form
   1,460.16/2,014.94 = 830.83/x
3. Step 3: Cross multiply
   1,460.16x = 2,014.94 × 830.83
4. Step 4: Simplify right side
   1,460.16x = 1,674,080.84
5. Step 5: Solve for x
   x = 1,674,080.84/1,460.16
6. Step 6: Final answer
   x = 1,146.50