Finding the Fourth Proportional to 2,500.02, 3,748.66 and 768.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500.02 : 3,748.66 = 768.42 : x
2. Step 2: Convert to fraction form
   2,500.02/3,748.66 = 768.42/x
3. Step 3: Cross multiply
   2,500.02x = 3,748.66 × 768.42
4. Step 4: Simplify right side
   2,500.02x = 2,880,545.32
5. Step 5: Solve for x
   x = 2,880,545.32/2,500.02
6. Step 6: Final answer
   x = 1,152.21