Finding the Fourth Proportional to 1,459.78, 2,180.05 and 1,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.78 : 2,180.05 = 1,298.50 : x
2. Step 2: Convert to fraction form
   1,459.78/2,180.05 = 1,298.50/x
3. Step 3: Cross multiply
   1,459.78x = 2,180.05 × 1,298.50
4. Step 4: Simplify right side
   1,459.78x = 2,830,788.43
5. Step 5: Solve for x
   x = 2,830,788.43/1,459.78
6. Step 6: Final answer
   x = 1,939.19