Finding the Fourth Proportional to 5,102.78, 7,041.83 and 2,978.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,102.78 : 7,041.83 = 2,978.15 : x
2. Step 2: Convert to fraction form
   5,102.78/7,041.83 = 2,978.15/x
3. Step 3: Cross multiply
   5,102.78x = 7,041.83 × 2,978.15
4. Step 4: Simplify right side
   5,102.78x = 20,971,575.91
5. Step 5: Solve for x
   x = 20,971,575.91/5,102.78
6. Step 6: Final answer
   x = 4,109.84