Finding the Fourth Proportional to 5,112.32, 7,669.86 and 1,825.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,112.32 : 7,669.86 = 1,825.76 : x
2. Step 2: Convert to fraction form
   5,112.32/7,669.86 = 1,825.76/x
3. Step 3: Cross multiply
   5,112.32x = 7,669.86 × 1,825.76
4. Step 4: Simplify right side
   5,112.32x = 14,003,323.59
5. Step 5: Solve for x
   x = 14,003,323.59/5,112.32
6. Step 6: Final answer
   x = 2,739.13