Finding the Fourth Proportional to 1,384.61, 1,910.61 and 825.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.61 : 1,910.61 = 825.01 : x
2. Step 2: Convert to fraction form
   1,384.61/1,910.61 = 825.01/x
3. Step 3: Cross multiply
   1,384.61x = 1,910.61 × 825.01
4. Step 4: Simplify right side
   1,384.61x = 1,576,272.36
5. Step 5: Solve for x
   x = 1,576,272.36/1,384.61
6. Step 6: Final answer
   x = 1,138.42