Finding the Fourth Proportional to 2,159.72, 3,241.01 and 1,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159.72 : 3,241.01 = 1,186.50 : x
2. Step 2: Convert to fraction form
   2,159.72/3,241.01 = 1,186.50/x
3. Step 3: Cross multiply
   2,159.72x = 3,241.01 × 1,186.50
4. Step 4: Simplify right side
   2,159.72x = 3,845,458.37
5. Step 5: Solve for x
   x = 3,845,458.37/2,159.72
6. Step 6: Final answer
   x = 1,780.54