Finding the Fourth Proportional to 1,404.34, 2,105.29 and 538.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.34 : 2,105.29 = 538.05 : x
2. Step 2: Convert to fraction form
   1,404.34/2,105.29 = 538.05/x
3. Step 3: Cross multiply
   1,404.34x = 2,105.29 × 538.05
4. Step 4: Simplify right side
   1,404.34x = 1,132,740.76
5. Step 5: Solve for x
   x = 1,132,740.76/1,404.34
6. Step 6: Final answer
   x = 806.60