Finding the Fourth Proportional to 1,409.46, 1,946.01 and 878.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.46 : 1,946.01 = 878.55 : x
2. Step 2: Convert to fraction form
   1,409.46/1,946.01 = 878.55/x
3. Step 3: Cross multiply
   1,409.46x = 1,946.01 × 878.55
4. Step 4: Simplify right side
   1,409.46x = 1,709,662.69
5. Step 5: Solve for x
   x = 1,709,662.69/1,409.46
6. Step 6: Final answer
   x = 1,213.00