Finding the Fourth Proportional to 1,533.70, 2,116.33 and 870.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.70 : 2,116.33 = 870.42 : x
2. Step 2: Convert to fraction form
   1,533.70/2,116.33 = 870.42/x
3. Step 3: Cross multiply
   1,533.70x = 2,116.33 × 870.42
4. Step 4: Simplify right side
   1,533.70x = 1,842,095.96
5. Step 5: Solve for x
   x = 1,842,095.96/1,533.70
6. Step 6: Final answer
   x = 1,201.08