Finding the Fourth Proportional to 1,025.30, 1,538.49 and 477.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.30 : 1,538.49 = 477.47 : x
2. Step 2: Convert to fraction form
   1,025.30/1,538.49 = 477.47/x
3. Step 3: Cross multiply
   1,025.30x = 1,538.49 × 477.47
4. Step 4: Simplify right side
   1,025.30x = 734,582.82
5. Step 5: Solve for x
   x = 734,582.82/1,025.30
6. Step 6: Final answer
   x = 716.46