Finding the Fourth Proportional to 123.71, 185.62 and 78.10

Step by Step Solution

1. Step 1: Write the proportion equation
   123.71 : 185.62 = 78.10 : x
2. Step 2: Convert to fraction form
   123.71/185.62 = 78.10/x
3. Step 3: Cross multiply
   123.71x = 185.62 × 78.10
4. Step 4: Simplify right side
   123.71x = 14,496.26
5. Step 5: Solve for x
   x = 14,496.26/123.71
6. Step 6: Final answer
   x = 117.18