Finding the Fourth Proportional to 2,191.98, 3,289.05 and 1,546.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,191.98 : 3,289.05 = 1,546.86 : x
2. Step 2: Convert to fraction form
   2,191.98/3,289.05 = 1,546.86/x
3. Step 3: Cross multiply
   2,191.98x = 3,289.05 × 1,546.86
4. Step 4: Simplify right side
   2,191.98x = 5,087,699.88
5. Step 5: Solve for x
   x = 5,087,699.88/2,191.98
6. Step 6: Final answer
   x = 2,321.05