Finding the Fourth Proportional to 9,925.83, 14,856.75 and 5,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,925.83 : 14,856.75 = 5,476.50 : x
2. Step 2: Convert to fraction form
   9,925.83/14,856.75 = 5,476.50/x
3. Step 3: Cross multiply
   9,925.83x = 14,856.75 × 5,476.50
4. Step 4: Simplify right side
   9,925.83x = 81,362,991.38
5. Step 5: Solve for x
   x = 81,362,991.38/9,925.83
6. Step 6: Final answer
   x = 8,197.10