Finding the Fourth Proportional to 78,012.25, 107,656.32 and 42,201.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78,012.25 : 107,656.32 = 42,201.75 : x
2. Step 2: Convert to fraction form
   78,012.25/107,656.32 = 42,201.75/x
3. Step 3: Cross multiply
   78,012.25x = 107,656.32 × 42,201.75
4. Step 4: Simplify right side
   78,012.25x = 4,543,285,102.56
5. Step 5: Solve for x
   x = 4,543,285,102.56/78,012.25
6. Step 6: Final answer
   x = 58,238.10