Finding the Fourth Proportional to 2,501.76, 3,753.20 and 770.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,501.76 : 3,753.20 = 770.56 : x
2. Step 2: Convert to fraction form
   2,501.76/3,753.20 = 770.56/x
3. Step 3: Cross multiply
   2,501.76x = 3,753.20 × 770.56
4. Step 4: Simplify right side
   2,501.76x = 2,892,065.79
5. Step 5: Solve for x
   x = 2,892,065.79/2,501.76
6. Step 6: Final answer
   x = 1,156.01