Finding the Fourth Proportional to 1,404.06, 2,105.93 and 537.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.06 : 2,105.93 = 537.76 : x
2. Step 2: Convert to fraction form
   1,404.06/2,105.93 = 537.76/x
3. Step 3: Cross multiply
   1,404.06x = 2,105.93 × 537.76
4. Step 4: Simplify right side
   1,404.06x = 1,132,488.89
5. Step 5: Solve for x
   x = 1,132,488.89/1,404.06
6. Step 6: Final answer
   x = 806.58