Finding the Fourth Proportional to 1,540.02, 2,120.79 and 1,459.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.02 : 2,120.79 = 1,459.86 : x
2. Step 2: Convert to fraction form
   1,540.02/2,120.79 = 1,459.86/x
3. Step 3: Cross multiply
   1,540.02x = 2,120.79 × 1,459.86
4. Step 4: Simplify right side
   1,540.02x = 3,096,056.49
5. Step 5: Solve for x
   x = 3,096,056.49/1,540.02
6. Step 6: Final answer
   x = 2,010.40