Finding the Fourth Proportional to 1,109.81, 1,664.72 and 340.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.81 : 1,664.72 = 340.31 : x
2. Step 2: Convert to fraction form
   1,109.81/1,664.72 = 340.31/x
3. Step 3: Cross multiply
   1,109.81x = 1,664.72 × 340.31
4. Step 4: Simplify right side
   1,109.81x = 566,524.60
5. Step 5: Solve for x
   x = 566,524.60/1,109.81
6. Step 6: Final answer
   x = 510.47