Finding the Fourth Proportional to 10,835.25, 14,953.75 and 7,812.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,835.25 : 14,953.75 = 7,812.86 : x
2. Step 2: Convert to fraction form
   10,835.25/14,953.75 = 7,812.86/x
3. Step 3: Cross multiply
   10,835.25x = 14,953.75 × 7,812.86
4. Step 4: Simplify right side
   10,835.25x = 116,831,555.23
5. Step 5: Solve for x
   x = 116,831,555.23/10,835.25
6. Step 6: Final answer
   x = 10,782.54