Finding the Fourth Proportional to 1,978.47, 2,965.68 and 1,429.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.47 : 2,965.68 = 1,429.29 : x
2. Step 2: Convert to fraction form
   1,978.47/2,965.68 = 1,429.29/x
3. Step 3: Cross multiply
   1,978.47x = 2,965.68 × 1,429.29
4. Step 4: Simplify right side
   1,978.47x = 4,238,816.77
5. Step 5: Solve for x
   x = 4,238,816.77/1,978.47
6. Step 6: Final answer
   x = 2,142.47