Finding the Fourth Proportional to 1,490.50, 2,056.89 and 869.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.50 : 2,056.89 = 869.62 : x
2. Step 2: Convert to fraction form
   1,490.50/2,056.89 = 869.62/x
3. Step 3: Cross multiply
   1,490.50x = 2,056.89 × 869.62
4. Step 4: Simplify right side
   1,490.50x = 1,788,712.68
5. Step 5: Solve for x
   x = 1,788,712.68/1,490.50
6. Step 6: Final answer
   x = 1,200.08