Finding the Fourth Proportional to 1,111.47, 1,533.54 and 816.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.47 : 1,533.54 = 816.22 : x
2. Step 2: Convert to fraction form
   1,111.47/1,533.54 = 816.22/x
3. Step 3: Cross multiply
   1,111.47x = 1,533.54 × 816.22
4. Step 4: Simplify right side
   1,111.47x = 1,251,706.02
5. Step 5: Solve for x
   x = 1,251,706.02/1,111.47
6. Step 6: Final answer
   x = 1,126.17