Finding the Fourth Proportional to 1,541.67, 2,127.89 and 878.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.67 : 2,127.89 = 878.92 : x
2. Step 2: Convert to fraction form
   1,541.67/2,127.89 = 878.92/x
3. Step 3: Cross multiply
   1,541.67x = 2,127.89 × 878.92
4. Step 4: Simplify right side
   1,541.67x = 1,870,245.08
5. Step 5: Solve for x
   x = 1,870,245.08/1,541.67
6. Step 6: Final answer
   x = 1,213.13