Finding the Fourth Proportional to 1,111.92, 1,667.76 and 825.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.92 : 1,667.76 = 825.12 : x
2. Step 2: Convert to fraction form
   1,111.92/1,667.76 = 825.12/x
3. Step 3: Cross multiply
   1,111.92x = 1,667.76 × 825.12
4. Step 4: Simplify right side
   1,111.92x = 1,376,102.13
5. Step 5: Solve for x
   x = 1,376,102.13/1,111.92
6. Step 6: Final answer
   x = 1,237.59