Finding the Fourth Proportional to 9,185.90, 12,674.32 and 5,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.90 : 12,674.32 = 5,827.50 : x
2. Step 2: Convert to fraction form
   9,185.90/12,674.32 = 5,827.50/x
3. Step 3: Cross multiply
   9,185.90x = 12,674.32 × 5,827.50
4. Step 4: Simplify right side
   9,185.90x = 73,859,585.23
5. Step 5: Solve for x
   x = 73,859,585.23/9,185.90
6. Step 6: Final answer
   x = 8,040.54