Finding the Fourth Proportional to 1,460.02, 2,014.76 and 830.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.02 : 2,014.76 = 830.46 : x
2. Step 2: Convert to fraction form
   1,460.02/2,014.76 = 830.46/x
3. Step 3: Cross multiply
   1,460.02x = 2,014.76 × 830.46
4. Step 4: Simplify right side
   1,460.02x = 1,673,174.63
5. Step 5: Solve for x
   x = 1,673,174.63/1,460.02
6. Step 6: Final answer
   x = 1,146.00