Finding the Fourth Proportional to 1,385.74, 1,911.90 and 825.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.74 : 1,911.90 = 825.93 : x
2. Step 2: Convert to fraction form
   1,385.74/1,911.90 = 825.93/x
3. Step 3: Cross multiply
   1,385.74x = 1,911.90 × 825.93
4. Step 4: Simplify right side
   1,385.74x = 1,579,095.57
5. Step 5: Solve for x
   x = 1,579,095.57/1,385.74
6. Step 6: Final answer
   x = 1,139.53