Finding the Fourth Proportional to 5,105.52, 7,656.84 and 1,406.85

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.52 : 7,656.84 = 1,406.85 : x
2. Step 2: Convert to fraction form
   5,105.52/7,656.84 = 1,406.85/x
3. Step 3: Cross multiply
   5,105.52x = 7,656.84 × 1,406.85
4. Step 4: Simplify right side
   5,105.52x = 10,772,025.35
5. Step 5: Solve for x
   x = 10,772,025.35/5,105.52
6. Step 6: Final answer
   x = 2,109.88