Finding the Fourth Proportional to 1,533.94, 2,116.86 and 835.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.94 : 2,116.86 = 835.31 : x
2. Step 2: Convert to fraction form
   1,533.94/2,116.86 = 835.31/x
3. Step 3: Cross multiply
   1,533.94x = 2,116.86 × 835.31
4. Step 4: Simplify right side
   1,533.94x = 1,768,238.84
5. Step 5: Solve for x
   x = 1,768,238.84/1,533.94
6. Step 6: Final answer
   x = 1,152.75