Finding the Fourth Proportional to 52.56, 72.63 and 42.84

Step by Step Solution

1. Step 1: Write the proportion equation
   52.56 : 72.63 = 42.84 : x
2. Step 2: Convert to fraction form
   52.56/72.63 = 42.84/x
3. Step 3: Cross multiply
   52.56x = 72.63 × 42.84
4. Step 4: Simplify right side
   52.56x = 3,111.47
5. Step 5: Solve for x
   x = 3,111.47/52.56
6. Step 6: Final answer
   x = 59.20