Finding the Fourth Proportional to 9,868.74, 14,779.53 and 5,696.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,868.74 : 14,779.53 = 5,696.10 : x
2. Step 2: Convert to fraction form
   9,868.74/14,779.53 = 5,696.10/x
3. Step 3: Cross multiply
   9,868.74x = 14,779.53 × 5,696.10
4. Step 4: Simplify right side
   9,868.74x = 84,185,680.83
5. Step 5: Solve for x
   x = 84,185,680.83/9,868.74
6. Step 6: Final answer
   x = 8,530.54