Finding the Fourth Proportional to 1,533.84, 2,116.71 and 835.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.84 : 2,116.71 = 835.23 : x
2. Step 2: Convert to fraction form
   1,533.84/2,116.71 = 835.23/x
3. Step 3: Cross multiply
   1,533.84x = 2,116.71 × 835.23
4. Step 4: Simplify right side
   1,533.84x = 1,767,939.69
5. Step 5: Solve for x
   x = 1,767,939.69/1,533.84
6. Step 6: Final answer
   x = 1,152.62