Finding the Fourth Proportional to 1,111.24, 1,533.78 and 1,059.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.24 : 1,533.78 = 1,059.16 : x
2. Step 2: Convert to fraction form
   1,111.24/1,533.78 = 1,059.16/x
3. Step 3: Cross multiply
   1,111.24x = 1,533.78 × 1,059.16
4. Step 4: Simplify right side
   1,111.24x = 1,624,518.42
5. Step 5: Solve for x
   x = 1,624,518.42/1,111.24
6. Step 6: Final answer
   x = 1,461.90