Finding the Fourth Proportional to 1,384.74, 1,911.33 and 825.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.74 : 1,911.33 = 825.03 : x
2. Step 2: Convert to fraction form
   1,384.74/1,911.33 = 825.03/x
3. Step 3: Cross multiply
   1,384.74x = 1,911.33 × 825.03
4. Step 4: Simplify right side
   1,384.74x = 1,576,904.59
5. Step 5: Solve for x
   x = 1,576,904.59/1,384.74
6. Step 6: Final answer
   x = 1,138.77