Finding the Fourth Proportional to 2,109.20, 2,910.71 and 1,164.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.20 : 2,910.71 = 1,164.98 : x
2. Step 2: Convert to fraction form
   2,109.20/2,910.71 = 1,164.98/x
3. Step 3: Cross multiply
   2,109.20x = 2,910.71 × 1,164.98
4. Step 4: Simplify right side
   2,109.20x = 3,390,898.56
5. Step 5: Solve for x
   x = 3,390,898.56/2,109.20
6. Step 6: Final answer
   x = 1,607.67