Finding the Fourth Proportional to 1,533.42, 2,116.02 and 852.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.42 : 2,116.02 = 852.01 : x
2. Step 2: Convert to fraction form
   1,533.42/2,116.02 = 852.01/x
3. Step 3: Cross multiply
   1,533.42x = 2,116.02 × 852.01
4. Step 4: Simplify right side
   1,533.42x = 1,802,870.20
5. Step 5: Solve for x
   x = 1,802,870.20/1,533.42
6. Step 6: Final answer
   x = 1,175.72