Finding the Fourth Proportional to 1,749.60, 2,624.00 and 825.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,749.60 : 2,624.00 = 825.59 : x
2. Step 2: Convert to fraction form
   1,749.60/2,624.00 = 825.59/x
3. Step 3: Cross multiply
   1,749.60x = 2,624.00 × 825.59
4. Step 4: Simplify right side
   1,749.60x = 2,166,350.59
5. Step 5: Solve for x
   x = 2,166,350.59/1,749.60
6. Step 6: Final answer
   x = 1,238.20