Finding the Fourth Proportional to 5,106.32, 7,650.54 and 3,637.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106.32 : 7,650.54 = 3,637.82 : x
2. Step 2: Convert to fraction form
   5,106.32/7,650.54 = 3,637.82/x
3. Step 3: Cross multiply
   5,106.32x = 7,650.54 × 3,637.82
4. Step 4: Simplify right side
   5,106.32x = 27,831,287.42
5. Step 5: Solve for x
   x = 27,831,287.42/5,106.32
6. Step 6: Final answer
   x = 5,450.36