Finding the Fourth Proportional to 10,007.70, 15,014.16 and 3,767.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,007.70 : 15,014.16 = 3,767.77 : x
2. Step 2: Convert to fraction form
   10,007.70/15,014.16 = 3,767.77/x
3. Step 3: Cross multiply
   10,007.70x = 15,014.16 × 3,767.77
4. Step 4: Simplify right side
   10,007.70x = 56,569,835.94
5. Step 5: Solve for x
   x = 56,569,835.94/10,007.70
6. Step 6: Final answer
   x = 5,652.63