Finding the Fourth Proportional to 1,536.50, 2,304.72 and 562.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.50 : 2,304.72 = 562.34 : x
2. Step 2: Convert to fraction form
   1,536.50/2,304.72 = 562.34/x
3. Step 3: Cross multiply
   1,536.50x = 2,304.72 × 562.34
4. Step 4: Simplify right side
   1,536.50x = 1,296,036.24
5. Step 5: Solve for x
   x = 1,296,036.24/1,536.50
6. Step 6: Final answer
   x = 843.50