Finding the Fourth Proportional to 1,591.40, 2,196.14 and 892.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,591.40 : 2,196.14 = 892.78 : x
2. Step 2: Convert to fraction form
   1,591.40/2,196.14 = 892.78/x
3. Step 3: Cross multiply
   1,591.40x = 2,196.14 × 892.78
4. Step 4: Simplify right side
   1,591.40x = 1,960,669.87
5. Step 5: Solve for x
   x = 1,960,669.87/1,591.40
6. Step 6: Final answer
   x = 1,232.04