Finding the Fourth Proportional to 42,784.40, 64,178.42 and 13,201.58

Step by Step Solution

1. Step 1: Write the proportion equation
   42,784.40 : 64,178.42 = 13,201.58 : x
2. Step 2: Convert to fraction form
   42,784.40/64,178.42 = 13,201.58/x
3. Step 3: Cross multiply
   42,784.40x = 64,178.42 × 13,201.58
4. Step 4: Simplify right side
   42,784.40x = 847,256,159.00
5. Step 5: Solve for x
   x = 847,256,159.00/42,784.40
6. Step 6: Final answer
   x = 19,802.92