Finding the Fourth Proportional to 1,591.64, 2,196.34 and 892.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,591.64 : 2,196.34 = 892.88 : x
2. Step 2: Convert to fraction form
   1,591.64/2,196.34 = 892.88/x
3. Step 3: Cross multiply
   1,591.64x = 2,196.34 × 892.88
4. Step 4: Simplify right side
   1,591.64x = 1,961,054.85
5. Step 5: Solve for x
   x = 1,961,054.85/1,591.64
6. Step 6: Final answer
   x = 1,232.10