Finding the Fourth Proportional to 10,748.43, 14,835.93 and 6,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,748.43 : 14,835.93 = 6,499.50 : x
2. Step 2: Convert to fraction form
   10,748.43/14,835.93 = 6,499.50/x
3. Step 3: Cross multiply
   10,748.43x = 14,835.93 × 6,499.50
4. Step 4: Simplify right side
   10,748.43x = 96,426,127.04
5. Step 5: Solve for x
   x = 96,426,127.04/10,748.43
6. Step 6: Final answer
   x = 8,971.18