Finding the Fourth Proportional to 2,323.82, 3,486.24 and 763.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,323.82 : 3,486.24 = 763.76 : x
2. Step 2: Convert to fraction form
   2,323.82/3,486.24 = 763.76/x
3. Step 3: Cross multiply
   2,323.82x = 3,486.24 × 763.76
4. Step 4: Simplify right side
   2,323.82x = 2,662,633.23
5. Step 5: Solve for x
   x = 2,662,633.23/2,323.82
6. Step 6: Final answer
   x = 1,145.80