Finding the Fourth Proportional to 1,468.24, 2,025.98 and 838.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.24 : 2,025.98 = 838.78 : x
2. Step 2: Convert to fraction form
   1,468.24/2,025.98 = 838.78/x
3. Step 3: Cross multiply
   1,468.24x = 2,025.98 × 838.78
4. Step 4: Simplify right side
   1,468.24x = 1,699,351.50
5. Step 5: Solve for x
   x = 1,699,351.50/1,468.24
6. Step 6: Final answer
   x = 1,157.41