Finding the Fourth Proportional to 10,261.00, 14,160.22 and 5,784.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,261.00 : 14,160.22 = 5,784.77 : x
2. Step 2: Convert to fraction form
   10,261.00/14,160.22 = 5,784.77/x
3. Step 3: Cross multiply
   10,261.00x = 14,160.22 × 5,784.77
4. Step 4: Simplify right side
   10,261.00x = 81,913,557.14
5. Step 5: Solve for x
   x = 81,913,557.14/10,261.00
6. Step 6: Final answer
   x = 7,983.00