Finding the Fourth Proportional to 5,109.30, 7,662.60 and 1,410.66

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.30 : 7,662.60 = 1,410.66 : x
2. Step 2: Convert to fraction form
   5,109.30/7,662.60 = 1,410.66/x
3. Step 3: Cross multiply
   5,109.30x = 7,662.60 × 1,410.66
4. Step 4: Simplify right side
   5,109.30x = 10,809,323.32
5. Step 5: Solve for x
   x = 10,809,323.32/5,109.30
6. Step 6: Final answer
   x = 2,115.62