Finding the Fourth Proportional to 10,312.74, 14,233.62 and 5,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,312.74 : 14,233.62 = 5,836.50 : x
2. Step 2: Convert to fraction form
   10,312.74/14,233.62 = 5,836.50/x
3. Step 3: Cross multiply
   10,312.74x = 14,233.62 × 5,836.50
4. Step 4: Simplify right side
   10,312.74x = 83,074,523.13
5. Step 5: Solve for x
   x = 83,074,523.13/10,312.74
6. Step 6: Final answer
   x = 8,055.52