Finding the Fourth Proportional to 1,506.50, 2,078.64 and 947.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.50 : 2,078.64 = 947.09 : x
2. Step 2: Convert to fraction form
   1,506.50/2,078.64 = 947.09/x
3. Step 3: Cross multiply
   1,506.50x = 2,078.64 × 947.09
4. Step 4: Simplify right side
   1,506.50x = 1,968,648.76
5. Step 5: Solve for x
   x = 1,968,648.76/1,506.50
6. Step 6: Final answer
   x = 1,306.77