Finding the Fourth Proportional to 1,408.18, 1,942.20 and 1,075.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.18 : 1,942.20 = 1,075.78 : x
2. Step 2: Convert to fraction form
   1,408.18/1,942.20 = 1,075.78/x
3. Step 3: Cross multiply
   1,408.18x = 1,942.20 × 1,075.78
4. Step 4: Simplify right side
   1,408.18x = 2,089,379.92
5. Step 5: Solve for x
   x = 2,089,379.92/1,408.18
6. Step 6: Final answer
   x = 1,483.74