Finding the Fourth Proportional to 1,645.50, 2,270.80 and 947.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.50 : 2,270.80 = 947.02 : x
2. Step 2: Convert to fraction form
   1,645.50/2,270.80 = 947.02/x
3. Step 3: Cross multiply
   1,645.50x = 2,270.80 × 947.02
4. Step 4: Simplify right side
   1,645.50x = 2,150,493.02
5. Step 5: Solve for x
   x = 2,150,493.02/1,645.50
6. Step 6: Final answer
   x = 1,306.89