Finding the Fourth Proportional to 76.59, 105.71 and 53.32

Step by Step Solution

1. Step 1: Write the proportion equation
   76.59 : 105.71 = 53.32 : x
2. Step 2: Convert to fraction form
   76.59/105.71 = 53.32/x
3. Step 3: Cross multiply
   76.59x = 105.71 × 53.32
4. Step 4: Simplify right side
   76.59x = 5,636.19
5. Step 5: Solve for x
   x = 5,636.19/76.59
6. Step 6: Final answer
   x = 73.59