Finding the Fourth Proportional to 2,638.90, 3,641.63 and 1,460.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.90 : 3,641.63 = 1,460.02 : x
2. Step 2: Convert to fraction form
   2,638.90/3,641.63 = 1,460.02/x
3. Step 3: Cross multiply
   2,638.90x = 3,641.63 × 1,460.02
4. Step 4: Simplify right side
   2,638.90x = 5,316,852.63
5. Step 5: Solve for x
   x = 5,316,852.63/2,638.90
6. Step 6: Final answer
   x = 2,014.80