Finding the Fourth Proportional to 13,090, 18,064.06 and 7,784.71

Step by Step Solution

1. Step 1: Write the proportion equation
   13,090 : 18,064.06 = 7,784.71 : x
2. Step 2: Convert to fraction form
   13,090/18,064.06 = 7,784.71/x
3. Step 3: Cross multiply
   13,090x = 18,064.06 × 7,784.71
4. Step 4: Simplify right side
   13,090x = 140,623,468.52
5. Step 5: Solve for x
   x = 140,623,468.52/13,090
6. Step 6: Final answer
   x = 10,742.82