Finding the Fourth Proportional to 1,406.47, 1,940.24 and 909.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.47 : 1,940.24 = 909.53 : x
2. Step 2: Convert to fraction form
   1,406.47/1,940.24 = 909.53/x
3. Step 3: Cross multiply
   1,406.47x = 1,940.24 × 909.53
4. Step 4: Simplify right side
   1,406.47x = 1,764,706.79
5. Step 5: Solve for x
   x = 1,764,706.79/1,406.47
6. Step 6: Final answer
   x = 1,254.71