Finding the Fourth Proportional to 5,105.76, 7,657.69 and 1,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.76 : 7,657.69 = 1,407.50 : x
2. Step 2: Convert to fraction form
   5,105.76/7,657.69 = 1,407.50/x
3. Step 3: Cross multiply
   5,105.76x = 7,657.69 × 1,407.50
4. Step 4: Simplify right side
   5,105.76x = 10,778,198.68
5. Step 5: Solve for x
   x = 10,778,198.68/5,105.76
6. Step 6: Final answer
   x = 2,110.99