Finding the Fourth Proportional to 1,638.02, 2,261.05 and 1,463.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.02 : 2,261.05 = 1,463.06 : x
2. Step 2: Convert to fraction form
   1,638.02/2,261.05 = 1,463.06/x
3. Step 3: Cross multiply
   1,638.02x = 2,261.05 × 1,463.06
4. Step 4: Simplify right side
   1,638.02x = 3,308,051.81
5. Step 5: Solve for x
   x = 3,308,051.81/1,638.02
6. Step 6: Final answer
   x = 2,019.54