Finding the Fourth Proportional to 3,602.16, 5,402.43 and 1,005.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,602.16 : 5,402.43 = 1,005.30 : x
2. Step 2: Convert to fraction form
   3,602.16/5,402.43 = 1,005.30/x
3. Step 3: Cross multiply
   3,602.16x = 5,402.43 × 1,005.30
4. Step 4: Simplify right side
   3,602.16x = 5,431,062.88
5. Step 5: Solve for x
   x = 5,431,062.88/3,602.16
6. Step 6: Final answer
   x = 1,507.72