Finding the Fourth Proportional to 2,465.82, 3,699.33 and 1,642.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.82 : 3,699.33 = 1,642.05 : x
2. Step 2: Convert to fraction form
   2,465.82/3,699.33 = 1,642.05/x
3. Step 3: Cross multiply
   2,465.82x = 3,699.33 × 1,642.05
4. Step 4: Simplify right side
   2,465.82x = 6,074,484.83
5. Step 5: Solve for x
   x = 6,074,484.83/2,465.82
6. Step 6: Final answer
   x = 2,463.47