Finding the Fourth Proportional to 1,430.74, 1,974.54 and 1,138.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,430.74 : 1,974.54 = 1,138.24 : x
2. Step 2: Convert to fraction form
   1,430.74/1,974.54 = 1,138.24/x
3. Step 3: Cross multiply
   1,430.74x = 1,974.54 × 1,138.24
4. Step 4: Simplify right side
   1,430.74x = 2,247,500.41
5. Step 5: Solve for x
   x = 2,247,500.41/1,430.74
6. Step 6: Final answer
   x = 1,570.87