Finding the Fourth Proportional to 1,049.60, 1,448.42 and 577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,049.60 : 1,448.42 = 577.50 : x
2. Step 2: Convert to fraction form
   1,049.60/1,448.42 = 577.50/x
3. Step 3: Cross multiply
   1,049.60x = 1,448.42 × 577.50
4. Step 4: Simplify right side
   1,049.60x = 836,462.55
5. Step 5: Solve for x
   x = 836,462.55/1,049.60
6. Step 6: Final answer
   x = 796.93