Finding the Fourth Proportional to 2,114.19, 3,168.86 and 1,420.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.19 : 3,168.86 = 1,420.02 : x
2. Step 2: Convert to fraction form
   2,114.19/3,168.86 = 1,420.02/x
3. Step 3: Cross multiply
   2,114.19x = 3,168.86 × 1,420.02
4. Step 4: Simplify right side
   2,114.19x = 4,499,837.48
5. Step 5: Solve for x
   x = 4,499,837.48/2,114.19
6. Step 6: Final answer
   x = 2,128.40