Finding the Fourth Proportional to 117.86, 176.50 and 100.72

Step by Step Solution

1. Step 1: Write the proportion equation
   117.86 : 176.50 = 100.72 : x
2. Step 2: Convert to fraction form
   117.86/176.50 = 100.72/x
3. Step 3: Cross multiply
   117.86x = 176.50 × 100.72
4. Step 4: Simplify right side
   117.86x = 17,775.69
5. Step 5: Solve for x
   x = 17,775.69/117.86
6. Step 6: Final answer
   x = 150.82