Finding the Fourth Proportional to 42,969.76, 64,394.16 and 34,165.60

Step by Step Solution

1. Step 1: Write the proportion equation
   42,969.76 : 64,394.16 = 34,165.60 : x
2. Step 2: Convert to fraction form
   42,969.76/64,394.16 = 34,165.60/x
3. Step 3: Cross multiply
   42,969.76x = 64,394.16 × 34,165.60
4. Step 4: Simplify right side
   42,969.76x = 2,200,065,112.90
5. Step 5: Solve for x
   x = 2,200,065,112.90/42,969.76
6. Step 6: Final answer
   x = 51,200.31