Finding the Fourth Proportional to 1,754.14, 2,632.89 and 780.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,754.14 : 2,632.89 = 780.58 : x
2. Step 2: Convert to fraction form
   1,754.14/2,632.89 = 780.58/x
3. Step 3: Cross multiply
   1,754.14x = 2,632.89 × 780.58
4. Step 4: Simplify right side
   1,754.14x = 2,055,181.28
5. Step 5: Solve for x
   x = 2,055,181.28/1,754.14
6. Step 6: Final answer
   x = 1,171.62