Finding the Fourth Proportional to 2,142.32, 2,959.67 and 1,830.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.32 : 2,959.67 = 1,830.80 : x
2. Step 2: Convert to fraction form
   2,142.32/2,959.67 = 1,830.80/x
3. Step 3: Cross multiply
   2,142.32x = 2,959.67 × 1,830.80
4. Step 4: Simplify right side
   2,142.32x = 5,418,575.81
5. Step 5: Solve for x
   x = 5,418,575.81/2,142.32
6. Step 6: Final answer
   x = 2,529.31