Finding the Fourth Proportional to 1,878.78, 2,592.50 and 1,082.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,878.78 : 2,592.50 = 1,082.22 : x
2. Step 2: Convert to fraction form
   1,878.78/2,592.50 = 1,082.22/x
3. Step 3: Cross multiply
   1,878.78x = 2,592.50 × 1,082.22
4. Step 4: Simplify right side
   1,878.78x = 2,805,655.35
5. Step 5: Solve for x
   x = 2,805,655.35/1,878.78
6. Step 6: Final answer
   x = 1,493.34