Finding the Fourth Proportional to 1,645.71, 2,468.06 and 549.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.71 : 2,468.06 = 549.82 : x
2. Step 2: Convert to fraction form
   1,645.71/2,468.06 = 549.82/x
3. Step 3: Cross multiply
   1,645.71x = 2,468.06 × 549.82
4. Step 4: Simplify right side
   1,645.71x = 1,356,979.83
5. Step 5: Solve for x
   x = 1,356,979.83/1,645.71
6. Step 6: Final answer
   x = 824.56