Finding the Fourth Proportional to 9,182.38, 13,781.55 and 5,026.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.38 : 13,781.55 = 5,026.18 : x
2. Step 2: Convert to fraction form
   9,182.38/13,781.55 = 5,026.18/x
3. Step 3: Cross multiply
   9,182.38x = 13,781.55 × 5,026.18
4. Step 4: Simplify right side
   9,182.38x = 69,268,550.98
5. Step 5: Solve for x
   x = 69,268,550.98/9,182.38
6. Step 6: Final answer
   x = 7,543.64