Finding the Fourth Proportional to 2,780.76, 3,838.32 and 2,152.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.76 : 3,838.32 = 2,152.56 : x
2. Step 2: Convert to fraction form
   2,780.76/3,838.32 = 2,152.56/x
3. Step 3: Cross multiply
   2,780.76x = 3,838.32 × 2,152.56
4. Step 4: Simplify right side
   2,780.76x = 8,262,214.10
5. Step 5: Solve for x
   x = 8,262,214.10/2,780.76
6. Step 6: Final answer
   x = 2,971.21