Finding the Fourth Proportional to 1,468.38, 2,026.32 and 830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.38 : 2,026.32 = 830.25 : x
2. Step 2: Convert to fraction form
   1,468.38/2,026.32 = 830.25/x
3. Step 3: Cross multiply
   1,468.38x = 2,026.32 × 830.25
4. Step 4: Simplify right side
   1,468.38x = 1,682,349.07
5. Step 5: Solve for x
   x = 1,682,349.07/1,468.38
6. Step 6: Final answer
   x = 1,145.72