Finding the Fourth Proportional to 2,109.18, 2,910.70 and 1,164.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.18 : 2,910.70 = 1,164.98 : x
2. Step 2: Convert to fraction form
   2,109.18/2,910.70 = 1,164.98/x
3. Step 3: Cross multiply
   2,109.18x = 2,910.70 × 1,164.98
4. Step 4: Simplify right side
   2,109.18x = 3,390,907.29
5. Step 5: Solve for x
   x = 3,390,907.29/2,109.18
6. Step 6: Final answer
   x = 1,607.69