Finding the Fourth Proportional to 1,827.32, 2,738.57 and 840.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,827.32 : 2,738.57 = 840.24 : x
2. Step 2: Convert to fraction form
   1,827.32/2,738.57 = 840.24/x
3. Step 3: Cross multiply
   1,827.32x = 2,738.57 × 840.24
4. Step 4: Simplify right side
   1,827.32x = 2,301,051.86
5. Step 5: Solve for x
   x = 2,301,051.86/1,827.32
6. Step 6: Final answer
   x = 1,259.25