Finding the Fourth Proportional to 10,565.07, 14,566.57 and 7,730.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,565.07 : 14,566.57 = 7,730.16 : x
2. Step 2: Convert to fraction form
   10,565.07/14,566.57 = 7,730.16/x
3. Step 3: Cross multiply
   10,565.07x = 14,566.57 × 7,730.16
4. Step 4: Simplify right side
   10,565.07x = 112,601,916.75
5. Step 5: Solve for x
   x = 112,601,916.75/10,565.07
6. Step 6: Final answer
   x = 10,657.94