Finding the Fourth Proportional to 1,005.75, 1,501.75 and 900.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.75 : 1,501.75 = 900.96 : x
2. Step 2: Convert to fraction form
   1,005.75/1,501.75 = 900.96/x
3. Step 3: Cross multiply
   1,005.75x = 1,501.75 × 900.96
4. Step 4: Simplify right side
   1,005.75x = 1,353,016.96
5. Step 5: Solve for x
   x = 1,353,016.96/1,005.75
6. Step 6: Final answer
   x = 1,345.28