Finding the Fourth Proportional to 1,002.02, 1,382.72 and 559.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.02 : 1,382.72 = 559.91 : x
2. Step 2: Convert to fraction form
   1,002.02/1,382.72 = 559.91/x
3. Step 3: Cross multiply
   1,002.02x = 1,382.72 × 559.91
4. Step 4: Simplify right side
   1,002.02x = 774,202.56
5. Step 5: Solve for x
   x = 774,202.56/1,002.02
6. Step 6: Final answer
   x = 772.64