Finding the Fourth Proportional to 1,005.72, 1,506.52 and 593.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.72 : 1,506.52 = 593.61 : x
2. Step 2: Convert to fraction form
   1,005.72/1,506.52 = 593.61/x
3. Step 3: Cross multiply
   1,005.72x = 1,506.52 × 593.61
4. Step 4: Simplify right side
   1,005.72x = 894,285.34
5. Step 5: Solve for x
   x = 894,285.34/1,005.72
6. Step 6: Final answer
   x = 889.20