Finding the Fourth Proportional to 2,595.20, 3,886.68 and 1,978.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595.20 : 3,886.68 = 1,978.16 : x
2. Step 2: Convert to fraction form
   2,595.20/3,886.68 = 1,978.16/x
3. Step 3: Cross multiply
   2,595.20x = 3,886.68 × 1,978.16
4. Step 4: Simplify right side
   2,595.20x = 7,688,474.91
5. Step 5: Solve for x
   x = 7,688,474.91/2,595.20
6. Step 6: Final answer
   x = 2,962.58