Finding the Fourth Proportional to 10,374.53, 15,564.10 and 2,978.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.53 : 15,564.10 = 2,978.42 : x
2. Step 2: Convert to fraction form
   10,374.53/15,564.10 = 2,978.42/x
3. Step 3: Cross multiply
   10,374.53x = 15,564.10 × 2,978.42
4. Step 4: Simplify right side
   10,374.53x = 46,356,434.59
5. Step 5: Solve for x
   x = 46,356,434.59/10,374.53
6. Step 6: Final answer
   x = 4,468.29