Finding the Fourth Proportional to 53.68, 74.00 and 42.00

Step by Step Solution

1. Step 1: Write the proportion equation
   53.68 : 74.00 = 42.00 : x
2. Step 2: Convert to fraction form
   53.68/74.00 = 42.00/x
3. Step 3: Cross multiply
   53.68x = 74.00 × 42.00
4. Step 4: Simplify right side
   53.68x = 3,107.42
5. Step 5: Solve for x
   x = 3,107.42/53.68
6. Step 6: Final answer
   x = 57.89