Finding the Fourth Proportional to 2,109.10, 2,911.80 and 1,875.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.10 : 2,911.80 = 1,875.56 : x
2. Step 2: Convert to fraction form
   2,109.10/2,911.80 = 1,875.56/x
3. Step 3: Cross multiply
   2,109.10x = 2,911.80 × 1,875.56
4. Step 4: Simplify right side
   2,109.10x = 5,461,255.61
5. Step 5: Solve for x
   x = 5,461,255.61/2,109.10
6. Step 6: Final answer
   x = 2,589.38