Finding the Fourth Proportional to 1,404.24, 2,105.76 and 526.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.24 : 2,105.76 = 526.80 : x
2. Step 2: Convert to fraction form
   1,404.24/2,105.76 = 526.80/x
3. Step 3: Cross multiply
   1,404.24x = 2,105.76 × 526.80
4. Step 4: Simplify right side
   1,404.24x = 1,109,314.37
5. Step 5: Solve for x
   x = 1,109,314.37/1,404.24
6. Step 6: Final answer
   x = 789.97