Finding the Fourth Proportional to 2,142.02, 2,952.64 and 1,970.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.02 : 2,952.64 = 1,970.18 : x
2. Step 2: Convert to fraction form
   2,142.02/2,952.64 = 1,970.18/x
3. Step 3: Cross multiply
   2,142.02x = 2,952.64 × 1,970.18
4. Step 4: Simplify right side
   2,142.02x = 5,817,217.51
5. Step 5: Solve for x
   x = 5,817,217.51/2,142.02
6. Step 6: Final answer
   x = 2,715.77