Finding the Fourth Proportional to 10,417.64, 14,376.71 and 5,701.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.64 : 14,376.71 = 5,701.91 : x
2. Step 2: Convert to fraction form
   10,417.64/14,376.71 = 5,701.91/x
3. Step 3: Cross multiply
   10,417.64x = 14,376.71 × 5,701.91
4. Step 4: Simplify right side
   10,417.64x = 81,974,606.12
5. Step 5: Solve for x
   x = 81,974,606.12/10,417.64
6. Step 6: Final answer
   x = 7,868.83