Finding the Fourth Proportional to 1,404.27, 2,106.45 and 538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.27 : 2,106.45 = 538.50 : x
2. Step 2: Convert to fraction form
   1,404.27/2,106.45 = 538.50/x
3. Step 3: Cross multiply
   1,404.27x = 2,106.45 × 538.50
4. Step 4: Simplify right side
   1,404.27x = 1,134,323.33
5. Step 5: Solve for x
   x = 1,134,323.33/1,404.27
6. Step 6: Final answer
   x = 807.77