Finding the Fourth Proportional to 2,045.71, 3,066.20 and 947.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.71 : 3,066.20 = 947.78 : x
2. Step 2: Convert to fraction form
   2,045.71/3,066.20 = 947.78/x
3. Step 3: Cross multiply
   2,045.71x = 3,066.20 × 947.78
4. Step 4: Simplify right side
   2,045.71x = 2,906,083.04
5. Step 5: Solve for x
   x = 2,906,083.04/2,045.71
6. Step 6: Final answer
   x = 1,420.57