Finding the Fourth Proportional to 10,090.13, 13,922.74 and 5,613.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.13 : 13,922.74 = 5,613.77 : x
2. Step 2: Convert to fraction form
   10,090.13/13,922.74 = 5,613.77/x
3. Step 3: Cross multiply
   10,090.13x = 13,922.74 × 5,613.77
4. Step 4: Simplify right side
   10,090.13x = 78,158,990.52
5. Step 5: Solve for x
   x = 78,158,990.52/10,090.13
6. Step 6: Final answer
   x = 7,746.08