Finding the Fourth Proportional to 1,207.77, 1,667.50 and 830.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,207.77 : 1,667.50 = 830.29 : x
2. Step 2: Convert to fraction form
   1,207.77/1,667.50 = 830.29/x
3. Step 3: Cross multiply
   1,207.77x = 1,667.50 × 830.29
4. Step 4: Simplify right side
   1,207.77x = 1,384,502.33
5. Step 5: Solve for x
   x = 1,384,502.33/1,207.77
6. Step 6: Final answer
   x = 1,146.33