Finding the Fourth Proportional to 1,026.59, 1,540.01 and 333.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.59 : 1,540.01 = 333.02 : x
2. Step 2: Convert to fraction form
   1,026.59/1,540.01 = 333.02/x
3. Step 3: Cross multiply
   1,026.59x = 1,540.01 × 333.02
4. Step 4: Simplify right side
   1,026.59x = 512,858.81
5. Step 5: Solve for x
   x = 512,858.81/1,026.59
6. Step 6: Final answer
   x = 499.58