Finding the Fourth Proportional to 1,057.34, 1,461.06 and 1,006.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.34 : 1,461.06 = 1,006.76 : x
2. Step 2: Convert to fraction form
   1,057.34/1,461.06 = 1,006.76/x
3. Step 3: Cross multiply
   1,057.34x = 1,461.06 × 1,006.76
4. Step 4: Simplify right side
   1,057.34x = 1,470,936.77
5. Step 5: Solve for x
   x = 1,470,936.77/1,057.34
6. Step 6: Final answer
   x = 1,391.17