Finding the Fourth Proportional to 137,415.82, 189,590.79 and 76,978.30

Step by Step Solution

1. Step 1: Write the proportion equation
   137,415.82 : 189,590.79 = 76,978.30 : x
2. Step 2: Convert to fraction form
   137,415.82/189,590.79 = 76,978.30/x
3. Step 3: Cross multiply
   137,415.82x = 189,590.79 × 76,978.30
4. Step 4: Simplify right side
   137,415.82x = 14,594,376,709.86
5. Step 5: Solve for x
   x = 14,594,376,709.86/137,415.82
6. Step 6: Final answer
   x = 106,205.94