Finding the Fourth Proportional to 3,695.64, 5,100.50 and 2,123.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,695.64 : 5,100.50 = 2,123.72 : x
2. Step 2: Convert to fraction form
   3,695.64/5,100.50 = 2,123.72/x
3. Step 3: Cross multiply
   3,695.64x = 5,100.50 × 2,123.72
4. Step 4: Simplify right side
   3,695.64x = 10,832,033.86
5. Step 5: Solve for x
   x = 10,832,033.86/3,695.64
6. Step 6: Final answer
   x = 2,931.03