Finding the Fourth Proportional to 9,822.14, 13,554.51 and 5,345.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.14 : 13,554.51 = 5,345.90 : x
2. Step 2: Convert to fraction form
   9,822.14/13,554.51 = 5,345.90/x
3. Step 3: Cross multiply
   9,822.14x = 13,554.51 × 5,345.90
4. Step 4: Simplify right side
   9,822.14x = 72,460,987.24
5. Step 5: Solve for x
   x = 72,460,987.24/9,822.14
6. Step 6: Final answer
   x = 7,377.31