Finding the Fourth Proportional to 1,110.69, 1,665.45 and 460.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,110.69 : 1,665.45 = 460.71 : x
2. Step 2: Convert to fraction form
   1,110.69/1,665.45 = 460.71/x
3. Step 3: Cross multiply
   1,110.69x = 1,665.45 × 460.71
4. Step 4: Simplify right side
   1,110.69x = 767,289.47
5. Step 5: Solve for x
   x = 767,289.47/1,110.69
6. Step 6: Final answer
   x = 690.82