Finding the Fourth Proportional to 1,109.25, 1,663.88 and 460.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.25 : 1,663.88 = 460.00 : x
2. Step 2: Convert to fraction form
   1,109.25/1,663.88 = 460.00/x
3. Step 3: Cross multiply
   1,109.25x = 1,663.88 × 460.00
4. Step 4: Simplify right side
   1,109.25x = 765,384.58
5. Step 5: Solve for x
   x = 765,384.58/1,109.25
6. Step 6: Final answer
   x = 690.00