Finding the Fourth Proportional to 1,109.80, 1,664.96 and 460.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.80 : 1,664.96 = 460.52 : x
2. Step 2: Convert to fraction form
   1,109.80/1,664.96 = 460.52/x
3. Step 3: Cross multiply
   1,109.80x = 1,664.96 × 460.52
4. Step 4: Simplify right side
   1,109.80x = 766,747.38
5. Step 5: Solve for x
   x = 766,747.38/1,109.80
6. Step 6: Final answer
   x = 690.89