Finding the Fourth Proportional to 1,468.13, 2,025.81 and 838.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.13 : 2,025.81 = 838.61 : x
2. Step 2: Convert to fraction form
   1,468.13/2,025.81 = 838.61/x
3. Step 3: Cross multiply
   1,468.13x = 2,025.81 × 838.61
4. Step 4: Simplify right side
   1,468.13x = 1,698,869.59
5. Step 5: Solve for x
   x = 1,698,869.59/1,468.13
6. Step 6: Final answer
   x = 1,157.17