Finding the Fourth Proportional to 1,154.58, 1,730.73 and 460.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,154.58 : 1,730.73 = 460.83 : x
2. Step 2: Convert to fraction form
   1,154.58/1,730.73 = 460.83/x
3. Step 3: Cross multiply
   1,154.58x = 1,730.73 × 460.83
4. Step 4: Simplify right side
   1,154.58x = 797,572.31
5. Step 5: Solve for x
   x = 797,572.31/1,154.58
6. Step 6: Final answer
   x = 690.79