Finding the Fourth Proportional to 1,005.38, 1,507.83 and 275.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.38 : 1,507.83 = 275.01 : x
2. Step 2: Convert to fraction form
   1,005.38/1,507.83 = 275.01/x
3. Step 3: Cross multiply
   1,005.38x = 1,507.83 × 275.01
4. Step 4: Simplify right side
   1,005.38x = 414,662.67
5. Step 5: Solve for x
   x = 414,662.67/1,005.38
6. Step 6: Final answer
   x = 412.45