Finding the Fourth Proportional to 1,415.31, 1,953.14 and 817.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.31 : 1,953.14 = 817.76 : x
2. Step 2: Convert to fraction form
   1,415.31/1,953.14 = 817.76/x
3. Step 3: Cross multiply
   1,415.31x = 1,953.14 × 817.76
4. Step 4: Simplify right side
   1,415.31x = 1,597,185.91
5. Step 5: Solve for x
   x = 1,597,185.91/1,415.31
6. Step 6: Final answer
   x = 1,128.51