Finding the Fourth Proportional to 9,869.54, 14,784.77 and 5,182.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,869.54 : 14,784.77 = 5,182.52 : x
2. Step 2: Convert to fraction form
   9,869.54/14,784.77 = 5,182.52/x
3. Step 3: Cross multiply
   9,869.54x = 14,784.77 × 5,182.52
4. Step 4: Simplify right side
   9,869.54x = 76,622,266.38
5. Step 5: Solve for x
   x = 76,622,266.38/9,869.54
6. Step 6: Final answer
   x = 7,763.51