Finding the Fourth Proportional to 1,381.88, 1,907.61 and 822.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.88 : 1,907.61 = 822.53 : x
2. Step 2: Convert to fraction form
   1,381.88/1,907.61 = 822.53/x
3. Step 3: Cross multiply
   1,381.88x = 1,907.61 × 822.53
4. Step 4: Simplify right side
   1,381.88x = 1,569,056.92
5. Step 5: Solve for x
   x = 1,569,056.92/1,381.88
6. Step 6: Final answer
   x = 1,135.46