Finding the Fourth Proportional to 1,407.10, 1,966.10 and 1,407.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.10 : 1,966.10 = 1,407.10 : x
2. Step 2: Convert to fraction form
   1,407.10/1,966.10 = 1,407.10/x
3. Step 3: Cross multiply
   1,407.10x = 1,966.10 × 1,407.10
4. Step 4: Simplify right side
   1,407.10x = 2,766,499.31
5. Step 5: Solve for x
   x = 2,766,499.31/1,407.10
6. Step 6: Final answer
   x = 1,966.10