Finding the Fourth Proportional to 5,098.34, 7,647.58 and 1,978.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,098.34 : 7,647.58 = 1,978.52 : x
2. Step 2: Convert to fraction form
   5,098.34/7,647.58 = 1,978.52/x
3. Step 3: Cross multiply
   5,098.34x = 7,647.58 × 1,978.52
4. Step 4: Simplify right side
   5,098.34x = 15,130,889.98
5. Step 5: Solve for x
   x = 15,130,889.98/5,098.34
6. Step 6: Final answer
   x = 2,967.81