Finding the Fourth Proportional to 10,667.39, 15,985.83 and 7,834.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,667.39 : 15,985.83 = 7,834.00 : x
2. Step 2: Convert to fraction form
   10,667.39/15,985.83 = 7,834.00/x
3. Step 3: Cross multiply
   10,667.39x = 15,985.83 × 7,834.00
4. Step 4: Simplify right side
   10,667.39x = 125,232,892.71
5. Step 5: Solve for x
   x = 125,232,892.71/10,667.39
6. Step 6: Final answer
   x = 11,739.79