Finding the Fourth Proportional to 2,164.56, 2,985.36 and 1,902

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164.56 : 2,985.36 = 1,902 : x
2. Step 2: Convert to fraction form
   2,164.56/2,985.36 = 1,902/x
3. Step 3: Cross multiply
   2,164.56x = 2,985.36 × 1,902
4. Step 4: Simplify right side
   2,164.56x = 5,678,154.72
5. Step 5: Solve for x
   x = 5,678,154.72/2,164.56
6. Step 6: Final answer
   x = 2,623.24