Finding the Fourth Proportional to 2,159.60, 3,238.90 and 1,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159.60 : 3,238.90 = 1,827.50 : x
2. Step 2: Convert to fraction form
   2,159.60/3,238.90 = 1,827.50/x
3. Step 3: Cross multiply
   2,159.60x = 3,238.90 × 1,827.50
4. Step 4: Simplify right side
   2,159.60x = 5,919,093.28
5. Step 5: Solve for x
   x = 5,919,093.28/2,159.60
6. Step 6: Final answer
   x = 2,740.83