Finding the Fourth Proportional to 10,538.96, 14,543.40 and 5,823.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.96 : 14,543.40 = 5,823.52 : x
2. Step 2: Convert to fraction form
   10,538.96/14,543.40 = 5,823.52/x
3. Step 3: Cross multiply
   10,538.96x = 14,543.40 × 5,823.52
4. Step 4: Simplify right side
   10,538.96x = 84,693,780.77
5. Step 5: Solve for x
   x = 84,693,780.77/10,538.96
6. Step 6: Final answer
   x = 8,036.26