Finding the Fourth Proportional to 1,106.84, 1,527.47 and 609.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.84 : 1,527.47 = 609.52 : x
2. Step 2: Convert to fraction form
   1,106.84/1,527.47 = 609.52/x
3. Step 3: Cross multiply
   1,106.84x = 1,527.47 × 609.52
4. Step 4: Simplify right side
   1,106.84x = 931,017.40
5. Step 5: Solve for x
   x = 931,017.40/1,106.84
6. Step 6: Final answer
   x = 841.15