Finding the Fourth Proportional to 1,059.24, 1,587.24 and 784.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.24 : 1,587.24 = 784.05 : x
2. Step 2: Convert to fraction form
   1,059.24/1,587.24 = 784.05/x
3. Step 3: Cross multiply
   1,059.24x = 1,587.24 × 784.05
4. Step 4: Simplify right side
   1,059.24x = 1,244,475.52
5. Step 5: Solve for x
   x = 1,244,475.52/1,059.24
6. Step 6: Final answer
   x = 1,174.88