Finding the Fourth Proportional to 1,404.08, 2,105.32 and 538.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.08 : 2,105.32 = 538.16 : x
2. Step 2: Convert to fraction form
   1,404.08/2,105.32 = 538.16/x
3. Step 3: Cross multiply
   1,404.08x = 2,105.32 × 538.16
4. Step 4: Simplify right side
   1,404.08x = 1,132,999.01
5. Step 5: Solve for x
   x = 1,132,999.01/1,404.08
6. Step 6: Final answer
   x = 806.93