Finding the Fourth Proportional to 1,002.01, 1,382.70 and 553.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.01 : 1,382.70 = 553.86 : x
2. Step 2: Convert to fraction form
   1,002.01/1,382.70 = 553.86/x
3. Step 3: Cross multiply
   1,002.01x = 1,382.70 × 553.86
4. Step 4: Simplify right side
   1,002.01x = 765,822.22
5. Step 5: Solve for x
   x = 765,822.22/1,002.01
6. Step 6: Final answer
   x = 764.29