Finding the Fourth Proportional to 1,417.03, 1,955.21 and 827.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.03 : 1,955.21 = 827.30 : x
2. Step 2: Convert to fraction form
   1,417.03/1,955.21 = 827.30/x
3. Step 3: Cross multiply
   1,417.03x = 1,955.21 × 827.30
4. Step 4: Simplify right side
   1,417.03x = 1,617,545.98
5. Step 5: Solve for x
   x = 1,617,545.98/1,417.03
6. Step 6: Final answer
   x = 1,141.50