Finding the Fourth Proportional to 1,404, 2,105.76 and 538.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404 : 2,105.76 = 538.08 : x
2. Step 2: Convert to fraction form
   1,404/2,105.76 = 538.08/x
3. Step 3: Cross multiply
   1,404x = 2,105.76 × 538.08
4. Step 4: Simplify right side
   1,404x = 1,133,067.34
5. Step 5: Solve for x
   x = 1,133,067.34/1,404
6. Step 6: Final answer
   x = 807.03