Finding the Fourth Proportional to 1,277.64, 1,915.27 and 498.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,277.64 : 1,915.27 = 498.15 : x
2. Step 2: Convert to fraction form
   1,277.64/1,915.27 = 498.15/x
3. Step 3: Cross multiply
   1,277.64x = 1,915.27 × 498.15
4. Step 4: Simplify right side
   1,277.64x = 954,090.51
5. Step 5: Solve for x
   x = 954,090.51/1,277.64
6. Step 6: Final answer
   x = 746.76