Finding the Fourth Proportional to 13,077.64, 18,046.96 and 7,109.16

Step by Step Solution

1. Step 1: Write the proportion equation
   13,077.64 : 18,046.96 = 7,109.16 : x
2. Step 2: Convert to fraction form
   13,077.64/18,046.96 = 7,109.16/x
3. Step 3: Cross multiply
   13,077.64x = 18,046.96 × 7,109.16
4. Step 4: Simplify right side
   13,077.64x = 128,298,726.15
5. Step 5: Solve for x
   x = 128,298,726.15/13,077.64
6. Step 6: Final answer
   x = 9,810.54