Finding the Fourth Proportional to 1,467.72, 2,025.37 and 838.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,467.72 : 2,025.37 = 838.16 : x
2. Step 2: Convert to fraction form
   1,467.72/2,025.37 = 838.16/x
3. Step 3: Cross multiply
   1,467.72x = 2,025.37 × 838.16
4. Step 4: Simplify right side
   1,467.72x = 1,697,584.12
5. Step 5: Solve for x
   x = 1,697,584.12/1,467.72
6. Step 6: Final answer
   x = 1,156.61