Finding the Fourth Proportional to 1,002.01, 1,382.76 and 559.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.01 : 1,382.76 = 559.93 : x
2. Step 2: Convert to fraction form
   1,002.01/1,382.76 = 559.93/x
3. Step 3: Cross multiply
   1,002.01x = 1,382.76 × 559.93
4. Step 4: Simplify right side
   1,002.01x = 774,245.35
5. Step 5: Solve for x
   x = 774,245.35/1,002.01
6. Step 6: Final answer
   x = 772.69