Finding the Fourth Proportional to 83.72, 125.64 and 59.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83.72 : 125.64 = 59.69 : x
2. Step 2: Convert to fraction form
   83.72/125.64 = 59.69/x
3. Step 3: Cross multiply
   83.72x = 125.64 × 59.69
4. Step 4: Simplify right side
   83.72x = 7,499.45
5. Step 5: Solve for x
   x = 7,499.45/83.72
6. Step 6: Final answer
   x = 89.58