Finding the Fourth Proportional to 1,933, 2,667.24 and 1,147.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,933 : 2,667.24 = 1,147.05 : x
2. Step 2: Convert to fraction form
   1,933/2,667.24 = 1,147.05/x
3. Step 3: Cross multiply
   1,933x = 2,667.24 × 1,147.05
4. Step 4: Simplify right side
   1,933x = 3,059,457.64
5. Step 5: Solve for x
   x = 3,059,457.64/1,933
6. Step 6: Final answer
   x = 1,582.75