Finding the Fourth Proportional to 1,026.72, 1,538.86 and 477.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.72 : 1,538.86 = 477.74 : x
2. Step 2: Convert to fraction form
   1,026.72/1,538.86 = 477.74/x
3. Step 3: Cross multiply
   1,026.72x = 1,538.86 × 477.74
4. Step 4: Simplify right side
   1,026.72x = 735,164.89
5. Step 5: Solve for x
   x = 735,164.89/1,026.72
6. Step 6: Final answer
   x = 716.04