Finding the Fourth Proportional to 1,409.04, 1,947.24 and 1,142.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.04 : 1,947.24 = 1,142.96 : x
2. Step 2: Convert to fraction form
   1,409.04/1,947.24 = 1,142.96/x
3. Step 3: Cross multiply
   1,409.04x = 1,947.24 × 1,142.96
4. Step 4: Simplify right side
   1,409.04x = 2,225,607.69
5. Step 5: Solve for x
   x = 2,225,607.69/1,409.04
6. Step 6: Final answer
   x = 1,579.52