Finding the Fourth Proportional to 1,269.60, 1,903.49 and 538.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269.60 : 1,903.49 = 538.78 : x
2. Step 2: Convert to fraction form
   1,269.60/1,903.49 = 538.78/x
3. Step 3: Cross multiply
   1,269.60x = 1,903.49 × 538.78
4. Step 4: Simplify right side
   1,269.60x = 1,025,562.34
5. Step 5: Solve for x
   x = 1,025,562.34/1,269.60
6. Step 6: Final answer
   x = 807.78