Finding the Fourth Proportional to 1,269.61, 1,904.42 and 538.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269.61 : 1,904.42 = 538.69 : x
2. Step 2: Convert to fraction form
   1,269.61/1,904.42 = 538.69/x
3. Step 3: Cross multiply
   1,269.61x = 1,904.42 × 538.69
4. Step 4: Simplify right side
   1,269.61x = 1,025,892.01
5. Step 5: Solve for x
   x = 1,025,892.01/1,269.61
6. Step 6: Final answer
   x = 808.04