Finding the Fourth Proportional to 1,684.06, 2,524.16 and 758.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684.06 : 2,524.16 = 758.30 : x
2. Step 2: Convert to fraction form
   1,684.06/2,524.16 = 758.30/x
3. Step 3: Cross multiply
   1,684.06x = 2,524.16 × 758.30
4. Step 4: Simplify right side
   1,684.06x = 1,914,059.80
5. Step 5: Solve for x
   x = 1,914,059.80/1,684.06
6. Step 6: Final answer
   x = 1,136.58