Finding the Fourth Proportional to 1,754.57, 2,632.62 and 830.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,754.57 : 2,632.62 = 830.78 : x
2. Step 2: Convert to fraction form
   1,754.57/2,632.62 = 830.78/x
3. Step 3: Cross multiply
   1,754.57x = 2,632.62 × 830.78
4. Step 4: Simplify right side
   1,754.57x = 2,187,123.89
5. Step 5: Solve for x
   x = 2,187,123.89/1,754.57
6. Step 6: Final answer
   x = 1,246.53