Finding the Fourth Proportional to 1,009.10, 1,409.50 and 1,009.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.10 : 1,409.50 = 1,009.10 : x
2. Step 2: Convert to fraction form
   1,009.10/1,409.50 = 1,009.10/x
3. Step 3: Cross multiply
   1,009.10x = 1,409.50 × 1,009.10
4. Step 4: Simplify right side
   1,009.10x = 1,422,326.45
5. Step 5: Solve for x
   x = 1,422,326.45/1,009.10
6. Step 6: Final answer
   x = 1,409.50