Finding the Fourth Proportional to 76.61, 105.69 and 47.10

Step by Step Solution

1. Step 1: Write the proportion equation
   76.61 : 105.69 = 47.10 : x
2. Step 2: Convert to fraction form
   76.61/105.69 = 47.10/x
3. Step 3: Cross multiply
   76.61x = 105.69 × 47.10
4. Step 4: Simplify right side
   76.61x = 4,978.00
5. Step 5: Solve for x
   x = 4,978.00/76.61
6. Step 6: Final answer
   x = 64.98