Finding the Fourth Proportional to 1,043.83, 1,564.83 and 523.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,043.83 : 1,564.83 = 523.10 : x
2. Step 2: Convert to fraction form
   1,043.83/1,564.83 = 523.10/x
3. Step 3: Cross multiply
   1,043.83x = 1,564.83 × 523.10
4. Step 4: Simplify right side
   1,043.83x = 818,562.57
5. Step 5: Solve for x
   x = 818,562.57/1,043.83
6. Step 6: Final answer
   x = 784.20