Finding the Fourth Proportional to 1,415.34, 1,953.27 and 825.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.34 : 1,953.27 = 825.93 : x
2. Step 2: Convert to fraction form
   1,415.34/1,953.27 = 825.93/x
3. Step 3: Cross multiply
   1,415.34x = 1,953.27 × 825.93
4. Step 4: Simplify right side
   1,415.34x = 1,613,264.29
5. Step 5: Solve for x
   x = 1,613,264.29/1,415.34
6. Step 6: Final answer
   x = 1,139.84