Finding the Fourth Proportional to 10,374.50, 15,564.05 and 2,978.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.50 : 15,564.05 = 2,978.39 : x
2. Step 2: Convert to fraction form
   10,374.50/15,564.05 = 2,978.39/x
3. Step 3: Cross multiply
   10,374.50x = 15,564.05 × 2,978.39
4. Step 4: Simplify right side
   10,374.50x = 46,355,718.17
5. Step 5: Solve for x
   x = 46,355,718.17/10,374.50
6. Step 6: Final answer
   x = 4,468.24