Finding the Fourth Proportional to 498.52, 747.78 and 293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498.52 : 747.78 = 293.50 : x
2. Step 2: Convert to fraction form
   498.52/747.78 = 293.50/x
3. Step 3: Cross multiply
   498.52x = 747.78 × 293.50
4. Step 4: Simplify right side
   498.52x = 219,473.43
5. Step 5: Solve for x
   x = 219,473.43/498.52
6. Step 6: Final answer
   x = 440.25