Finding the Fourth Proportional to 1,477.86, 2,216.41 and 490.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.86 : 2,216.41 = 490.52 : x
2. Step 2: Convert to fraction form
   1,477.86/2,216.41 = 490.52/x
3. Step 3: Cross multiply
   1,477.86x = 2,216.41 × 490.52
4. Step 4: Simplify right side
   1,477.86x = 1,087,200.51
5. Step 5: Solve for x
   x = 1,087,200.51/1,477.86
6. Step 6: Final answer
   x = 735.66