Finding the Fourth Proportional to 2,107.60, 2,909.86 and 1,886.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,107.60 : 2,909.86 = 1,886.17 : x
2. Step 2: Convert to fraction form
   2,107.60/2,909.86 = 1,886.17/x
3. Step 3: Cross multiply
   2,107.60x = 2,909.86 × 1,886.17
4. Step 4: Simplify right side
   2,107.60x = 5,488,502.63
5. Step 5: Solve for x
   x = 5,488,502.63/2,107.60
6. Step 6: Final answer
   x = 2,604.15