Finding the Fourth Proportional to 1,411.93, 1,948.58 and 822.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.93 : 1,948.58 = 822.25 : x
2. Step 2: Convert to fraction form
   1,411.93/1,948.58 = 822.25/x
3. Step 3: Cross multiply
   1,411.93x = 1,948.58 × 822.25
4. Step 4: Simplify right side
   1,411.93x = 1,602,219.91
5. Step 5: Solve for x
   x = 1,602,219.91/1,411.93
6. Step 6: Final answer
   x = 1,134.77