Finding the Fourth Proportional to 24,978.84, 37,463.86 and 7,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,978.84 : 37,463.86 = 7,444.50 : x
2. Step 2: Convert to fraction form
   24,978.84/37,463.86 = 7,444.50/x
3. Step 3: Cross multiply
   24,978.84x = 37,463.86 × 7,444.50
4. Step 4: Simplify right side
   24,978.84x = 278,899,705.77
5. Step 5: Solve for x
   x = 278,899,705.77/24,978.84
6. Step 6: Final answer
   x = 11,165.44