Finding the Fourth Proportional to 3,689.64, 5,091.50 and 2,117.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,689.64 : 5,091.50 = 2,117.63 : x
2. Step 2: Convert to fraction form
   3,689.64/5,091.50 = 2,117.63/x
3. Step 3: Cross multiply
   3,689.64x = 5,091.50 × 2,117.63
4. Step 4: Simplify right side
   3,689.64x = 10,781,877.10
5. Step 5: Solve for x
   x = 10,781,877.10/3,689.64
6. Step 6: Final answer
   x = 2,922.20