Finding the Fourth Proportional to 13,037.29, 17,978.50 and 9,814.83

Step by Step Solution

1. Step 1: Write the proportion equation
   13,037.29 : 17,978.50 = 9,814.83 : x
2. Step 2: Convert to fraction form
   13,037.29/17,978.50 = 9,814.83/x
3. Step 3: Cross multiply
   13,037.29x = 17,978.50 × 9,814.83
4. Step 4: Simplify right side
   13,037.29x = 176,455,921.16
5. Step 5: Solve for x
   x = 176,455,921.16/13,037.29
6. Step 6: Final answer
   x = 13,534.71