Finding the Fourth Proportional to 1,162.10, 1,602.23 and 1,002.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.10 : 1,602.23 = 1,002.12 : x
2. Step 2: Convert to fraction form
   1,162.10/1,602.23 = 1,002.12/x
3. Step 3: Cross multiply
   1,162.10x = 1,602.23 × 1,002.12
4. Step 4: Simplify right side
   1,162.10x = 1,605,621.72
5. Step 5: Solve for x
   x = 1,605,621.72/1,162.10
6. Step 6: Final answer
   x = 1,381.66