Finding the Fourth Proportional to 1,404.20, 2,106.59 and 538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.20 : 2,106.59 = 538.50 : x
2. Step 2: Convert to fraction form
   1,404.20/2,106.59 = 538.50/x
3. Step 3: Cross multiply
   1,404.20x = 2,106.59 × 538.50
4. Step 4: Simplify right side
   1,404.20x = 1,134,400.06
5. Step 5: Solve for x
   x = 1,134,400.06/1,404.20
6. Step 6: Final answer
   x = 807.87