Finding the Fourth Proportional to 1,005.34, 1,507.74 and 355.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.34 : 1,507.74 = 355.72 : x
2. Step 2: Convert to fraction form
   1,005.34/1,507.74 = 355.72/x
3. Step 3: Cross multiply
   1,005.34x = 1,507.74 × 355.72
4. Step 4: Simplify right side
   1,005.34x = 536,333.27
5. Step 5: Solve for x
   x = 536,333.27/1,005.34
6. Step 6: Final answer
   x = 533.48