Finding the Fourth Proportional to 1,005.52, 1,507.16 and 492.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.52 : 1,507.16 = 492.88 : x
2. Step 2: Convert to fraction form
   1,005.52/1,507.16 = 492.88/x
3. Step 3: Cross multiply
   1,005.52x = 1,507.16 × 492.88
4. Step 4: Simplify right side
   1,005.52x = 742,849.02
5. Step 5: Solve for x
   x = 742,849.02/1,005.52
6. Step 6: Final answer
   x = 738.77