Finding the Fourth Proportional to 1,107.53, 1,527.50 and 665.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,107.53 : 1,527.50 = 665.34 : x
2. Step 2: Convert to fraction form
   1,107.53/1,527.50 = 665.34/x
3. Step 3: Cross multiply
   1,107.53x = 1,527.50 × 665.34
4. Step 4: Simplify right side
   1,107.53x = 1,016,303.52
5. Step 5: Solve for x
   x = 1,016,303.52/1,107.53
6. Step 6: Final answer
   x = 917.63