Finding the Fourth Proportional to 76.60, 105.59 and 52.00

Step by Step Solution

1. Step 1: Write the proportion equation
   76.60 : 105.59 = 52.00 : x
2. Step 2: Convert to fraction form
   76.60/105.59 = 52.00/x
3. Step 3: Cross multiply
   76.60x = 105.59 × 52.00
4. Step 4: Simplify right side
   76.60x = 5,490.55
5. Step 5: Solve for x
   x = 5,490.55/76.60
6. Step 6: Final answer
   x = 71.67