Finding the Fourth Proportional to 1,162.50, 1,604.20 and 665.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.50 : 1,604.20 = 665.12 : x
2. Step 2: Convert to fraction form
   1,162.50/1,604.20 = 665.12/x
3. Step 3: Cross multiply
   1,162.50x = 1,604.20 × 665.12
4. Step 4: Simplify right side
   1,162.50x = 1,066,985.50
5. Step 5: Solve for x
   x = 1,066,985.50/1,162.50
6. Step 6: Final answer
   x = 917.84