Finding the Fourth Proportional to 1,155.60, 1,731.78 and 867.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.60 : 1,731.78 = 867.24 : x
2. Step 2: Convert to fraction form
   1,155.60/1,731.78 = 867.24/x
3. Step 3: Cross multiply
   1,155.60x = 1,731.78 × 867.24
4. Step 4: Simplify right side
   1,155.60x = 1,501,868.89
5. Step 5: Solve for x
   x = 1,501,868.89/1,155.60
6. Step 6: Final answer
   x = 1,299.64