Finding the Fourth Proportional to 42,738.50, 64,100.31 and 11,566.46

Step by Step Solution

1. Step 1: Write the proportion equation
   42,738.50 : 64,100.31 = 11,566.46 : x
2. Step 2: Convert to fraction form
   42,738.50/64,100.31 = 11,566.46/x
3. Step 3: Cross multiply
   42,738.50x = 64,100.31 × 11,566.46
4. Step 4: Simplify right side
   42,738.50x = 741,413,671.60
5. Step 5: Solve for x
   x = 741,413,671.60/42,738.50
6. Step 6: Final answer
   x = 17,347.68