Finding the Fourth Proportional to 1,619.82, 2,429.91 and 523.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,619.82 : 2,429.91 = 523.89 : x
2. Step 2: Convert to fraction form
   1,619.82/2,429.91 = 523.89/x
3. Step 3: Cross multiply
   1,619.82x = 2,429.91 × 523.89
4. Step 4: Simplify right side
   1,619.82x = 1,273,005.55
5. Step 5: Solve for x
   x = 1,273,005.55/1,619.82
6. Step 6: Final answer
   x = 785.89