Finding the Fourth Proportional to 1,068.35, 1,602.27 and 410.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,068.35 : 1,602.27 = 410.00 : x
2. Step 2: Convert to fraction form
   1,068.35/1,602.27 = 410.00/x
3. Step 3: Cross multiply
   1,068.35x = 1,602.27 × 410.00
4. Step 4: Simplify right side
   1,068.35x = 656,922.69
5. Step 5: Solve for x
   x = 656,922.69/1,068.35
6. Step 6: Final answer
   x = 614.90