Finding the Fourth Proportional to 10,164.62, 14,040.58 and 7,803.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.62 : 14,040.58 = 7,803.77 : x
2. Step 2: Convert to fraction form
   10,164.62/14,040.58 = 7,803.77/x
3. Step 3: Cross multiply
   10,164.62x = 14,040.58 × 7,803.77
4. Step 4: Simplify right side
   10,164.62x = 109,569,411.17
5. Step 5: Solve for x
   x = 109,569,411.17/10,164.62
6. Step 6: Final answer
   x = 10,779.48