Finding the Fourth Proportional to 1,106.81, 1,527.46 and 609.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.81 : 1,527.46 = 609.53 : x
2. Step 2: Convert to fraction form
   1,106.81/1,527.46 = 609.53/x
3. Step 3: Cross multiply
   1,106.81x = 1,527.46 × 609.53
4. Step 4: Simplify right side
   1,106.81x = 931,023.53
5. Step 5: Solve for x
   x = 931,023.53/1,106.81
6. Step 6: Final answer
   x = 841.17