Finding the Fourth Proportional to 1,025.59, 1,536.33 and 477.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.59 : 1,536.33 = 477.01 : x
2. Step 2: Convert to fraction form
   1,025.59/1,536.33 = 477.01/x
3. Step 3: Cross multiply
   1,025.59x = 1,536.33 × 477.01
4. Step 4: Simplify right side
   1,025.59x = 732,844.77
5. Step 5: Solve for x
   x = 732,844.77/1,025.59
6. Step 6: Final answer
   x = 714.56