Finding the Fourth Proportional to 100.06, 137.98 and 76.74

Step by Step Solution

1. Step 1: Write the proportion equation
   100.06 : 137.98 = 76.74 : x
2. Step 2: Convert to fraction form
   100.06/137.98 = 76.74/x
3. Step 3: Cross multiply
   100.06x = 137.98 × 76.74
4. Step 4: Simplify right side
   100.06x = 10,588.59
5. Step 5: Solve for x
   x = 10,588.59/100.06
6. Step 6: Final answer
   x = 105.82