Finding the Fourth Proportional to 1,825.72, 2,738.72 and 785.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,825.72 : 2,738.72 = 785.75 : x
2. Step 2: Convert to fraction form
   1,825.72/2,738.72 = 785.75/x
3. Step 3: Cross multiply
   1,825.72x = 2,738.72 × 785.75
4. Step 4: Simplify right side
   1,825.72x = 2,151,937.51
5. Step 5: Solve for x
   x = 2,151,937.51/1,825.72
6. Step 6: Final answer
   x = 1,178.68