Finding the Fourth Proportional to 1,460.52, 2,015.16 and 830.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.52 : 2,015.16 = 830.94 : x
2. Step 2: Convert to fraction form
   1,460.52/2,015.16 = 830.94/x
3. Step 3: Cross multiply
   1,460.52x = 2,015.16 × 830.94
4. Step 4: Simplify right side
   1,460.52x = 1,674,477.05
5. Step 5: Solve for x
   x = 1,674,477.05/1,460.52
6. Step 6: Final answer
   x = 1,146.49