Finding the Fourth Proportional to 5,105.05, 7,657.57 and 1,407.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.05 : 7,657.57 = 1,407.31 : x
2. Step 2: Convert to fraction form
   5,105.05/7,657.57 = 1,407.31/x
3. Step 3: Cross multiply
   5,105.05x = 7,657.57 × 1,407.31
4. Step 4: Simplify right side
   5,105.05x = 10,776,574.84
5. Step 5: Solve for x
   x = 10,776,574.84/5,105.05
6. Step 6: Final answer
   x = 2,110.96