Finding the Fourth Proportional to 2,402.06, 3,314.25 and 1,457.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.06 : 3,314.25 = 1,457.83 : x
2. Step 2: Convert to fraction form
   2,402.06/3,314.25 = 1,457.83/x
3. Step 3: Cross multiply
   2,402.06x = 3,314.25 × 1,457.83
4. Step 4: Simplify right side
   2,402.06x = 4,831,617.22
5. Step 5: Solve for x
   x = 4,831,617.22/2,402.06
6. Step 6: Final answer
   x = 2,011.45