Finding the Fourth Proportional to 1,002.06, 1,382.85 and 553.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.06 : 1,382.85 = 553.94 : x
2. Step 2: Convert to fraction form
   1,002.06/1,382.85 = 553.94/x
3. Step 3: Cross multiply
   1,002.06x = 1,382.85 × 553.94
4. Step 4: Simplify right side
   1,002.06x = 766,009.01
5. Step 5: Solve for x
   x = 766,009.01/1,002.06
6. Step 6: Final answer
   x = 764.43