Finding the Fourth Proportional to 1,109.61, 1,664.61 and 460.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.61 : 1,664.61 = 460.38 : x
2. Step 2: Convert to fraction form
   1,109.61/1,664.61 = 460.38/x
3. Step 3: Cross multiply
   1,109.61x = 1,664.61 × 460.38
4. Step 4: Simplify right side
   1,109.61x = 766,353.15
5. Step 5: Solve for x
   x = 766,353.15/1,109.61
6. Step 6: Final answer
   x = 690.65