Finding the Fourth Proportional to 1,041.58, 1,437.42 and 569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,041.58 : 1,437.42 = 569.50 : x
2. Step 2: Convert to fraction form
   1,041.58/1,437.42 = 569.50/x
3. Step 3: Cross multiply
   1,041.58x = 1,437.42 × 569.50
4. Step 4: Simplify right side
   1,041.58x = 818,610.69
5. Step 5: Solve for x
   x = 818,610.69/1,041.58
6. Step 6: Final answer
   x = 785.93