Finding the Fourth Proportional to 1,559.52, 2,339.69 and 464.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,559.52 : 2,339.69 = 464.00 : x
2. Step 2: Convert to fraction form
   1,559.52/2,339.69 = 464.00/x
3. Step 3: Cross multiply
   1,559.52x = 2,339.69 × 464.00
4. Step 4: Simplify right side
   1,559.52x = 1,085,602.14
5. Step 5: Solve for x
   x = 1,085,602.14/1,559.52
6. Step 6: Final answer
   x = 696.11