Finding the Fourth Proportional to 1,826.05, 2,738.10 and 947.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.05 : 2,738.10 = 947.66 : x
2. Step 2: Convert to fraction form
   1,826.05/2,738.10 = 947.66/x
3. Step 3: Cross multiply
   1,826.05x = 2,738.10 × 947.66
4. Step 4: Simplify right side
   1,826.05x = 2,594,793.38
5. Step 5: Solve for x
   x = 2,594,793.38/1,826.05
6. Step 6: Final answer
   x = 1,420.99