Finding the Fourth Proportional to 10,300.53, 14,213.97 and 5,823.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.53 : 14,213.97 = 5,823.93 : x
2. Step 2: Convert to fraction form
   10,300.53/14,213.97 = 5,823.93/x
3. Step 3: Cross multiply
   10,300.53x = 14,213.97 × 5,823.93
4. Step 4: Simplify right side
   10,300.53x = 82,781,166.30
5. Step 5: Solve for x
   x = 82,781,166.30/10,300.53
6. Step 6: Final answer
   x = 8,036.59