Finding the Fourth Proportional to 10,000.83, 14,977.89 and 7,906.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,000.83 : 14,977.89 = 7,906.77 : x
2. Step 2: Convert to fraction form
   10,000.83/14,977.89 = 7,906.77/x
3. Step 3: Cross multiply
   10,000.83x = 14,977.89 × 7,906.77
4. Step 4: Simplify right side
   10,000.83x = 118,426,731.32
5. Step 5: Solve for x
   x = 118,426,731.32/10,000.83
6. Step 6: Final answer
   x = 11,841.69