Finding the Fourth Proportional to 9,834.31, 13,569.83 and 5,641.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.31 : 13,569.83 = 5,641.75 : x
2. Step 2: Convert to fraction form
   9,834.31/13,569.83 = 5,641.75/x
3. Step 3: Cross multiply
   9,834.31x = 13,569.83 × 5,641.75
4. Step 4: Simplify right side
   9,834.31x = 76,557,560.19
5. Step 5: Solve for x
   x = 76,557,560.19/9,834.31
6. Step 6: Final answer
   x = 7,784.74