Finding the Fourth Proportional to 2,641.88, 3,645.80 and 1,462.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.88 : 3,645.80 = 1,462.93 : x
2. Step 2: Convert to fraction form
   2,641.88/3,645.80 = 1,462.93/x
3. Step 3: Cross multiply
   2,641.88x = 3,645.80 × 1,462.93
4. Step 4: Simplify right side
   2,641.88x = 5,333,539.25
5. Step 5: Solve for x
   x = 5,333,539.25/2,641.88
6. Step 6: Final answer
   x = 2,018.84