Finding the Fourth Proportional to 12,838.32, 17,719.86 and 7,534.86

Step by Step Solution

1. Step 1: Write the proportion equation
   12,838.32 : 17,719.86 = 7,534.86 : x
2. Step 2: Convert to fraction form
   12,838.32/17,719.86 = 7,534.86/x
3. Step 3: Cross multiply
   12,838.32x = 17,719.86 × 7,534.86
4. Step 4: Simplify right side
   12,838.32x = 133,516,664.32
5. Step 5: Solve for x
   x = 133,516,664.32/12,838.32
6. Step 6: Final answer
   x = 10,399.85