Finding the Fourth Proportional to 10,837.25, 14,956.51 and 7,814.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,837.25 : 14,956.51 = 7,814.86 : x
2. Step 2: Convert to fraction form
   10,837.25/14,956.51 = 7,814.86/x
3. Step 3: Cross multiply
   10,837.25x = 14,956.51 × 7,814.86
4. Step 4: Simplify right side
   10,837.25x = 116,883,031.74
5. Step 5: Solve for x
   x = 116,883,031.74/10,837.25
6. Step 6: Final answer
   x = 10,785.30