Finding the Fourth Proportional to 1,591.50, 2,196.30 and 892.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,591.50 : 2,196.30 = 892.86 : x
2. Step 2: Convert to fraction form
   1,591.50/2,196.30 = 892.86/x
3. Step 3: Cross multiply
   1,591.50x = 2,196.30 × 892.86
4. Step 4: Simplify right side
   1,591.50x = 1,960,988.42
5. Step 5: Solve for x
   x = 1,960,988.42/1,591.50
6. Step 6: Final answer
   x = 1,232.16