Finding the Fourth Proportional to 1,619.59, 2,429.54 and 523.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,619.59 : 2,429.54 = 523.98 : x
2. Step 2: Convert to fraction form
   1,619.59/2,429.54 = 523.98/x
3. Step 3: Cross multiply
   1,619.59x = 2,429.54 × 523.98
4. Step 4: Simplify right side
   1,619.59x = 1,273,030.37
5. Step 5: Solve for x
   x = 1,273,030.37/1,619.59
6. Step 6: Final answer
   x = 786.02