Finding the Fourth Proportional to 1,643.58, 2,264.17 and 1,406.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,643.58 : 2,264.17 = 1,406.77 : x
2. Step 2: Convert to fraction form
   1,643.58/2,264.17 = 1,406.77/x
3. Step 3: Cross multiply
   1,643.58x = 2,264.17 × 1,406.77
4. Step 4: Simplify right side
   1,643.58x = 3,185,166.43
5. Step 5: Solve for x
   x = 3,185,166.43/1,643.58
6. Step 6: Final answer
   x = 1,937.94