Finding the Fourth Proportional to 10,090.22, 13,922.90 and 5,613.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.22 : 13,922.90 = 5,613.96 : x
2. Step 2: Convert to fraction form
   10,090.22/13,922.90 = 5,613.96/x
3. Step 3: Cross multiply
   10,090.22x = 13,922.90 × 5,613.96
4. Step 4: Simplify right side
   10,090.22x = 78,162,506.00
5. Step 5: Solve for x
   x = 78,162,506.00/10,090.22
6. Step 6: Final answer
   x = 7,746.36