Finding the Fourth Proportional to 1,066.84, 1,600.72 and 519.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.84 : 1,600.72 = 519.04 : x
2. Step 2: Convert to fraction form
   1,066.84/1,600.72 = 519.04/x
3. Step 3: Cross multiply
   1,066.84x = 1,600.72 × 519.04
4. Step 4: Simplify right side
   1,066.84x = 830,837.71
5. Step 5: Solve for x
   x = 830,837.71/1,066.84
6. Step 6: Final answer
   x = 778.78