Finding the Fourth Proportional to 2,101.64, 3,150.42 and 1,005.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,101.64 : 3,150.42 = 1,005.72 : x
2. Step 2: Convert to fraction form
   2,101.64/3,150.42 = 1,005.72/x
3. Step 3: Cross multiply
   2,101.64x = 3,150.42 × 1,005.72
4. Step 4: Simplify right side
   2,101.64x = 3,168,440.40
5. Step 5: Solve for x
   x = 3,168,440.40/2,101.64
6. Step 6: Final answer
   x = 1,507.60