Finding the Fourth Proportional to 1,074.00, 1,608.91 and 510.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.00 : 1,608.91 = 510.33 : x
2. Step 2: Convert to fraction form
   1,074.00/1,608.91 = 510.33/x
3. Step 3: Cross multiply
   1,074.00x = 1,608.91 × 510.33
4. Step 4: Simplify right side
   1,074.00x = 821,079.98
5. Step 5: Solve for x
   x = 821,079.98/1,074.00
6. Step 6: Final answer
   x = 764.50