Finding the Fourth Proportional to 3,409.71, 5,114.00 and 944.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,409.71 : 5,114.00 = 944.78 : x
2. Step 2: Convert to fraction form
   3,409.71/5,114.00 = 944.78/x
3. Step 3: Cross multiply
   3,409.71x = 5,114.00 × 944.78
4. Step 4: Simplify right side
   3,409.71x = 4,831,574.63
5. Step 5: Solve for x
   x = 4,831,574.63/3,409.71
6. Step 6: Final answer
   x = 1,417.00